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Comparison results for semilinear elliptic equations via Picone-type identities.

Tadie

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A class of generalized integral operators.

Bekkara, Samir ; Messirdi, Bekkai ; Senoussaoui, Abderrahmane

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Existence of solutions to quasilinear functional differential equations.

Abbas, Syed ; Bahuguna, Dhirendra

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Positive solutions for nonlinear second-order m-point boundary-value problems.

Jiang, Jiqiang ; Liu, Lishan

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Existence and multiplicity results for singular φ-Laplacian BVPs on the positive half-line.

Djebali, Smail ; Mebarki, Karima

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Existence of solutions to p-Laplace equations with logarithmic nonlinearity.

Mo, Jing ; Yang, Zuodong

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Positive solutions for third-order Sturm-Liouville boundary-value problems with p-Laplacian.

Zhai, Chengbo ; Guo, Chunmei

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Positivity and stability for a system of transport equations with unbounded boundary perturbations.

D'Apice, Ciro ; El Habil, Brahim ; Rhandi, Abdelaziz

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Existence of solutions for second-order nonlinear impulsive boundary-value problems.

Ahmad, Bashir

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Multiple positive solutions for a singular elliptic equation with Neumann boundary condition in two dimensions.

Kaur, Bhatia Sumit ; Sreenadh, K.

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Stability for a family of systems of differential equations with sectionally continuous right-hand sides.

de Jesus Domingos, Acácio da Conceicao ; de la Hera Martínez, Gilner ; Vázquez Silva, Efrén

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Regularity for a clamped grid equation uxxxx+uyyyy=f on a domain with a corner.

Gerasimov, Tymofiy ; Sweers, Guido

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Oscillation and nonoscillation criteria for two-dimensional time-scale systems of first-order nonlinear dynamic equations.

Anderson, Douglas R.

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Second order tangency conditions and differential inclusions: a counterexample and a remedy.

Ursescu, Corneliu

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Existence and uniqueness of solutions to impulsive fractional differential equations.

Benchohra, Mouffak ; Slimani, Boualem Attou

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Structured matrix numerical solution of the nonlinear Schrödinger equation by the inverse scattering transform.

Aricò, Antonio ; van der Mee, Cornelis ; Seatzu, Sebastiano

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An oscillation theorem for a second order nonlinear differential equations with variable potential.

Tyagi, Jagmohan

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Asymptotic behavior of solutions on a thin plastic plate.

Moussa, Abdelaziz Ait ; Messaho, Jamal

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Weak almost periodic and optimal mild solutions of fractional evolution equations.

Debbouche, Amar ; El-Borai, Mahmoud M.

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Oblique derivative problems for generalized Rassias equations of mixed type with several characteristic boundaries.

Wen, Guo Chun

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A combustion model with unbounded thermal conductivity and reactant diffusivity in non-smooth domains.

Sanni, Sikiru Adigun

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Nonnegative solutions to an integral equation and its applications to systems of boundary value problems.

Purnaras, Ioannis K.

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Existence and uniqueness for magnetohydrodynamic flows in pipes with viscosity dependent on the temperature.

Cimatti, Giovanni

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Existence of solutions for an Oldroyd model of viscoelastic fluids.

De Araujo, Geraldo M. ; De Menezes, Silvano B. ; Marinho, Alexandro O.

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On solutions of a Volterra integral equation with deviating arguments.

Julie, M.Diana ; Balachandran, Krishnan

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Some remarks on controllability of evolution equations in Banach spaces.

Ntouyas, Sotiris K. ; O'Regan, Donal

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Regularity estimates in Besov spaces for initial-value problems of general parabolic equations.

Xu, Ming

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Lp-regularity of solutions to first initial-boundary value problem for hyperbolic equations in cusp domains.

Nguyen Manh Hung ; Vu Trong Luong

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Eigencurves for a Steklov problem.

Anane, Aomar ; Chakrone, Omar ; Karim, Belhadj ; Zerouali, Abdellah

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Existence of positive solutions for quasilinear elliptic systems involving the p-Laplacian.

Shang, Xudong ; Zhang, Jihui

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Positive periodic solutions for Liénard type p-Laplacian equations.

Meng, Junxia

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Periodic solutions of non-autonomous second order systems with p-Laplacian.

Wang, Zhiyong ; Zhang, Jihui

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Existence and uniqueness of positive solutions for a BVP with a p-Laplacian on the half-line.

Tian, Yu ; Ge, Weigao

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Existence of solutions for a p(x)-Laplacian non-homogeneous equations.

Andrei, Ionică

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Existence of weak solutions for nonlinear systems involving several p-Laplacian operators.

Khafagy, Salah A. ; Serag, Hassan M.

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Solvability for second-order m-point boundary value problems at resonance on the half-line.

Liu, Yang ; Li, Dong ; Fang, Ming

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Positive solutions for nonlinear difference equations involving the p-Laplacian with sign changing nonlinearity.

Sang, Yanbin ; Su, Hua

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Generalized first-order nonlinear evolution equations and generalized Yosida approximations based on H-maximal monotonicity frameworks.

Verma, Ram U.

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Existence of solutions and convergence results for dynamic initial value problems using lower and upper solutions.

Zaidi, Atiya H.

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Existence of solutions for fourth-order PDEs with variable exponents.

El Amrouss, Abdelrachid ; Moradi, Fouzia ; Moussaoui, Mimoun

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Three positive solutions for a system of singular generalized Lidstone problems.

Xu, Jiafa ; Yang, Zhilin

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Precise asymptotic behavior of solutions to damped simple pendulum equations.

Shibata, Tetsutaro

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Boundedness and exponential stability of highly nonlinear stochastic differential equations.

Liu, Ruihua ; Raffoul, Youssef

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Dynamics of a non-autonomous three-dimensional population system.

Quang, Ta Hong ; Ton, Ta Viet ; Linh, Nguyen Thi Hoai

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Symmetry in rearrangement optimization problems.

Emamizadeh, Behrouz ; Prajapat, Jyotshana V.

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An optimal existence theorem for positive solutions of a four-point boundary value problem.

Kwong, Man Kam ; Wong, James S.W.

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Existence of solutions for nonlinear second-order two-point boundary-value problems.

Du, Rui-Juan

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Periodic solutions for a Liénard equation with two deviating arguments.

Wang, Yong ; Tian, Junkang

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Existence of weak solutions for degenerate semilinear elliptic equations in unbounded domains.

Raghavendra, Venkataramanarao ; Kar, Rasmita

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Remarks on the Phragmén-Lindelöf theorem for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients.

Koike, Shigeaki ; Nakagawa, Kazushige

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Oscillatory behavior of second-order neutral difference equations with positive and negative coefficients.

Thandapani, Ethiraju ; Thangavelu, Krishnan ; Chandrasekaran, Ekambaram

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Renormalized entropy solutions for degenerate nonlinear evolution problems.

Ammar, Kaouther

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Upper semicontinuity of random attractors for non-compact random dynamical systems.

Wang, Bixiang

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A remark on the regularity for the 3D Navier-Stokes equations in terms of the two components of the velocity.

Gala, Sadek

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Weak solutions for anisotropic nonlinear elliptic equations with variable exponents.

Kone, Blaise ; Ouaro, Stanislas ; Traore, Sado

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Quasilinear differential equations in exterior domains with nonlinear boundary conditions and application.

Motreanu, Dumitru ; Tarfulea, Nicolae

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Existence and uniqueness of solutions to fractional semilinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions.

Matar, Mohammed M.

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Stability of negative solitary waves.

Kalisch, Henrik ; Nguyen, Nguyet Thanh

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Lateral estimates for iterated elliptic operators and analyticity.

Tarama, Shigeo

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Existence of almost periodic solutions for Hopfield neural networks with continuously distributed delays and impulses.

Li, Yongkun ; Zhang, Tianwei

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Nonlinear potential filtration equation and global actions of Lie symmetries.

Sepanski, Mark R.

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The Fuchsian Cauchy problem.

Belarbi, Malika ; Mechab, Mustapha

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Some inequalities for Sobolev integrals.

Dimitrov, Nikolaj ; Tersian, Stepan

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Uniform boundedness of solutions for a class of Liénard equations.

Ye, Guo-Rong ; Ding, Hui-Sheng ; Wu, Xi-Lang

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A quasi-boundary value method for regularizing nonlinear ill-posed problems.

Trong, Dang Duc ; Quan, Pham Hoang ; Tuan, Nguyen Huy

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Unbounded upper and lower solution method for third-order boundary-value problems on the half-line.

Bai, Chuanzhi ; Li, Chunhong

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Oscillation of solutions to impulsive dynamic equations on time scales.

Li, Qiaoluan ; Guo, Fang

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Existence of positive solutions for boundary value problems of second-order nonlinear differential equations on the half line.

Zhang, Xingqiu

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Upper and lower solutions for a second-order three-point singular boundary-value problem.

Zhang, Qiumei ; Jiang, Daqing ; Weng, Shiyou ; Gao, Haiyin

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Existence and uniqueness of solutions for the fractional integro-differential equations in Banach spaces.

Wu, Jun ; Liu, Yicheng

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Uniqueness of a symmetric positive solution to an ODE system.

Lopes, Orlando

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Multiple solutions for nonlinear elliptic equations on Riemannian manifolds.

Chen, Wenjing ; Yang, Jianfu

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Mean value theorems for some linear integral operators.

Lupu, Cezar ; Lupu, Tudorel

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Existence and exponential stability for anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays.

Wu, Yuanheng ; Zhou, Zhan

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Existence of local and global solutions to some impulsive fractional differential equation.

Atmania, Rahima ; Mazouzi, Said

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A parabolic-hyperbolic system modelling a moving cell.

Cardetti, Fabiana ; Choi, Yung-Sze

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Existence of solutions for second-order differential equations and systems on infinite intervals.

Moussaoui, Toufik ; Precup, Radu

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Homeomorphisms and Fredholm theory for perturbations of nonlinear Fredholm maps of index zero with applications.

Milojević, Petronije S.

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Inverse eigenvalue problems for semilinear elliptic equations.

Shibata, Tetsutaro

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Linking method for periodic non-autonomous fourth-order differential equations with superquadratic potentials.

Li, Chengyue ; Shi, Changhua

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Sufficient conditions of local solvability for partial differential operators on spaces of Colombeau type.

Garetto, Claudia

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Infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problems.

Aranda, Carlos C.

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The Riemann problem in gasdynamics.

Conway, Edward Daire ; Rosencrans, Steven I.

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Positive solutions for a system of nonlinear boundary-value problems on time scales.

Rao, A.Kameswara

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On the dynamics of a delayed SIR epidemic model with a modified saturated incidence rate.

Kaddar, Abdelilah

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Existence of positive solutions for a fourth-order multi-point beam problem on measure chains.

Anderson, Douglas R. ; Minhós, Feliz

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Existence of solutions for an abstract second-order differential equation with nonlocal conditions.

Hernández, Eduardo

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Existence of quadratic-mean almost periodic solutions to some stochastic hyperbolic differential equations.

Bezandry, Paul H. ; Diagana, Toka

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Multiplicity of solutions for some degenerate quasilinear elliptic equations.

Solferino, Viviana

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Blow-up of solutions for a system of nonlinear wave equations with nonlinear damping.

Wu, Shun-Tang

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Positive solutions for semi-linear elliptic equations in exterior domains.

Mâagli, Habib ; Turki, Sameh ; Zeddini, Noureddine

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Analysis of electro-viscoelastic antiplane contact problem with total slip rate dependent friction.

Dalah, Mohamed

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Approximation in the sense of Kato for the transport problem.

Cherif, Mohamed Amine ; Emamirad, Hassan

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Low regularity solutions of the Chern-Simons-Higgs equations in the Lorentz gauge.

Bournaveas, Nikolaos

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Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points.

Nguyen Thanh Anh ; Nguyen Manh Hung

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Twin periodic solutions of predator-prey dynamic system on time scales.

He, Rong-Hua ; Li, Hong-Xu ; Zhang, Liang

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Homoclinic solutions for a class of second order non-autonomous systems.

Yuan, Rong ; Zhang, Ziheng

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Some properties of the extreme values of infinity-harmonic functions.

Bhattacharya, Tilak

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Existence and analyticity of a parabolic evolution operator for nonautonomous linear equations in Banach spaces.

Munhoz, Antonio S. ; Filho, Antonio C.Souza

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Error evaluation of approximate solutions for sum-difference equations in two variables.

Pachpatte, Baburao G.

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Positive almost periodic solutions of non-autonomous delay competitive systems with weak allee effect.

Li, Yongkun ; Zhao, Kaihong

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Stability and bifurcation in a delayed predator-prey system with stage structure and functional response.

Zhang, Xiao ; Xu, Rui ; Gan, Qintao

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Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearities.

Xi, Shouliang ; Jia, Mei ; Ji, Huipeng

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A biharmonic elliptic problem with dependence on the gradient and the Laplacian.

Carrião, Paulo C. ; Faria, Luiz F.O. ; Miyagaki, Olímpio H.

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Semilinear functional differential equations of fractional order with state-dependent delay.

Darwish, Mohamed Abdalla ; Ntouyas, Sotiris K.

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Existence and continuity of global attractors for a degenerate semilinear parabolic equation.

Cung The Anh ; Tran Dinh Ke

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Two component regularity for the Navier-Stokes equations.

Fan, Jishan ; Gao, Hongjun

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Existence of mild solutions of a semilinear evolution differential inclusions with nonlocal conditions.

Al-Omair, Reem A. ; Ibrahim, Ahmed G.

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Existence and uniqueness of solutions to a semilinear elliptic system.

Chen, Zu-Chi ; Cui, Ying

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Regularity of weak solutions to the magneto-hydrodynamics equations in terms of the direction of velocity.

Luo, Yuwen

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A cell complex structure for the space of heteroclines for a semilinear parabolic equation.

Robinson, Michael

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Exponential attractors for a nonclassical diffusion equation.

Liu, Yong-Feng ; Ma, Qiaozhen

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Stabilization of solutions for semilinear parabolic systems as |x|→∞.

Gladkov, Alexander

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An incorrectly posed problem for nonlinear elliptic equations.

Georgiev, Svetlin G.

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A note on nodal non-radially symmetric solutions to Emden-Fowler equations.

Ramos, Miguel ; Zou, Wenming

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Controllability, observability, realizability, and stability of dynamic linear systems.

Davis, John M. ; Gravagne, Ian A. ; Jackson, Billy J. ; Marks II, Robert J.

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Existence of mild solutions for quasilinear integrodifferential equations with impulsive conditions.

Balachandran, Krishnan ; Samuel, Francis Paul

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Hopf bifurcation for simple food chain model with delay.

Cavani, Mario ; Lara, Teodoro ; Romero, Sael

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Second-order boundary estimates for solutions to singular elliptic equations.

Anedda, Claudia

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Solutions to boundary-value problems for nonlinear differential equations of fractional order.

Su, Xinwei ; Zhang, Shuqin

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Sigma-convergence of stationary Navier-Stokes type equations.

Nguetseng, Gabriel ; Signing, Lazarus

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Growth and oscillation of solutions to linear differential equations with entire coefficients having the same order.

Belaidi, Benharrat

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Existence and uniqueness of solutions for fourth-order boundary-value problems in Banach spaces.

Cui, Yujun ; Zou, Yumei

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Psi-bounded solutions for linear differential systems with Lebesgue psi-integrable functions on R as right-hand sides.

Diamandescu, Aurel

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Existence of solutions for differential inclusions on closed moving constraints in Banach spaces.

Gomaa, Adel Mahmoud

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Mild solutions for semilinear fractional differential equations.

Mophou, Gisele M. ; N'Guerekata, Gaston M.

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An oscillation criteria for second-order nonlinear differential equations with functional arguments.

Tyagi, Jagmohan ; Raghavendra, Venkataramanarao

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Existence of global solutions to nonlinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions.

Tidke, Haribhau L.

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Optimal boundary control for a time dependent thermistor problem.

Hrynkiv, Volodymyr

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Navier-Stokes equation with slip-like boundary condition.

Hashizume, Ken'ichi ; Koyama, Tetsuya ; Otani, Mitsuharu

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Existence of convex and non convex local solutions for fractional differential inclusions.

Ibrahim, Rabha W.

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Asymptotic behavior of solutions to Cauchy-Dirichlet problems for second-order hyperbolic equations in cylinder with non-smooth base.

Nguyen Manh Hung ; Kim, Bui Trong

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Nonexistence results for semilinear systems in unbounded domains.

Khodja, Brahim ; Moussaoui, Abdelkrim

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Radial positive solutions for a nonpositone problem in a ball.

Hakimi, Said ; Zertiti, Abderrahim

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Remarks on a 2-D nonlinear backward heat problem using a truncated Fourier series method.

Trong, Dang Duc ; Tuan, Nguyen Huy

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Distribution-valued weak solutions to a parabolic problem arising in financial mathematics.

Eydenberg, Michael ; Mariani, Maria Christina

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On the Cauchy-problem for generalized Kadomtsev-Petviashvili-II equations.

Grünrock, Axel

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Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation.

Aschbacher, Walter H.

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Controllability of 1-D coupled degenerate parabolic equations.

Cannarsa, Piermarco ; de Teresa, Luz

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A uniqueness result for ordinary differential equations with singular coefficients.

Pan, Yifei ; Wang, Mei

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Annulus oscillation criteria for second order nonlinear elliptic differential equations with damping.

Zhuang, Rong-Kun

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Existence and uniqueness theorems on certain difference-differential equations.

Pachpatte, Baburao G.

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Analytic solutions of a first order functional differential equation with a state derivative dependent delay.

Zhang, Pingping

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Boundedness of solutions for a Liénard equation with multiple deviating arguments.

Yu, Yuehua ; Zhao, Changhong

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Exponential convergence of solutions of SICNNs with mixed delays.

Ding, Hui-Sheng ; Ye, Guo-Rong

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Regularized trace of the Sturm-Liouville operator with irregular boundary conditions.

Makin, Alexander

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The Cauchy problem for a short-wave equation.

Gama, Silvio Marques A. ; Smirnov, Gueorgui

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Liapunov-type integral inequalities for certain higher-order differential equations.

Panigrahi, Saroj

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Existence results and applications for general variational-hemivariational inequalities on unbounded domains.

Mezei, Ildikó-Ilona ; Săplăcan, Lia

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Bifurcation routes to chaos in an extended Van der Pol's equation applied to economic models.

Pribylova, Lenka

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Necessary and sufficient conditions for the oscillatory and asymptotic behaviour of solutions to neutral delay dynamic equations.

Karpuz, Basak ; Ocalan, Ozkan ; Rath, Radhanath

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Oscillation criteria for first-order systems of linear difference equations.

Tripathy, Arun Kumar

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Homogenized model for flow in partially fractured media.

Choquet, Catherine

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Kink-antikink interaction for semilinear wave equations with a small parameter.

Garcia, Martin G. ; Omel'yanov, Georgii A.

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Existence of multiple solutions for a nonlinearly perturbed elliptic parabolic system in ℝ2.

Ishiwata, Michinori ; Ogawa, Takayoshi ; Takahashi, Futoshi

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Existence of multiple positive solutions for third-order boundary-value problem on the half-line with dependence on the first order derivative.

Liang, Sihua ; Zhang, Jihui

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On the rigidity of minimal mass solutions to the focusing mass-critical NLS for rough initial data.

Li, Dong ; Zhang, Xiaoyi

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Cyclic approximation to stasis.

Johnson, Stewart D. ; Rodu, Jordan

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Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrödinger equation.

Shao, Shuanglin

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Diophantine conditions in global well-posedness for coupled KdV-type systems.

Oh, Tadahiro

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Methane hydrate formation and decomposition.

Alexiades, Vasilios

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p. 1-11

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A computational domain decomposition approach for solving coupled flow-structure-thermal interaction problems.

Aulisa, Eugenio ; Manservisi, Sandro ; Seshaiyer, Padmanabhan

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p. 13-31

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Second-order differential equations with asymptotically small dissipation and piecewise flat potentials.

Cabot, Alexandre ; Engler, Hans ; Gadat, Sebastien

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p. 33-38

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A boundary control problem with a nonlinear reaction term.

Cannon, John R. ; Salman, Mohamed

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p. 39-49

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A simple bioclogging model that accounts for spatial spreading of bacteria.

Demaret, Laurent ; Eberl, Hermann J. ; Efendiev, Messoud A. ; Maloszewski, Piotr

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p. 51-69

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Existence of three solutions for a higher-order boundary-value problem.

Graef, John R. ; Kong, Lingju ; Kong, Qingkai

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p. 71-80

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A third-order m-point boundary-value problem of Dirichlet type involving a p-Laplacian type operator.

Gupta, Chaitan P.

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p. 81-94

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Infinitely many periodic solutions of nonlinear wave equations on Sn.

Kim, Jintae

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p. 95-105

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Fourth-order partial differential equations for effective image denoising.

Kim, Seongjai ; Lim, Hyeona

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p. 107-121

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Subsolutions: a journey from positone to infinite semipositone problems.

Lee, Eun Kyoung ; Shivaji, Ratnasingham ; Ye, Jinglong

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p. 123-131

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A multilevel adaptive mesh generation scheme using Kd-trees.

Limon, Alfonso ; Morris, Hedley

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p. 133-148

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Spectral element simulations of flow past an ellipsoid at different Reynolds numbers.

Liu, Don ; Karniadakis, George ; Maxey, Martin

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p. 149-157

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Bounded solutions: differential vs difference equations.

Mawhin, Jean

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p. 159-170

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Finite difference methods for coupled flow interaction transport models.

Mcgee, Shelly ; Seshaiyer, Padmanabhan

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p. 171-184

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Regularity of solutions to doubly nonlinear diffusion equations.

Merker, Jochen

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p. 185-195

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A model for gene activation.

Oppenheimer, Seth F. ; Fan, Ruping ; Pruett, Stephan

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p. 197-206

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Existence and nonexistence results for quasilinear semipositone Dirichlet problems.

Rudd, Matthew

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p. 207-212

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Optimized difference schemes for multidimensional hyperbolic partial differential equations.

Sescu, Adrian ; Afjeh, Abdollah A. ; Hixon, Ray

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p. 213-225

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Stationary radial solutions for a quasilinear Cahn-Hilliard model in N space dimensions.

Takáč, Peter

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p. 227-254

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Existence of solutions for thermoelastic semiconductor equations.

Wu, Xiaoqin

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p. 255-265

The Electronic Library of Mathematics