Some sufficient conditions for oscillation of a first order nonautonomuous delay differential equation with several positive and negative coefficients are obtained.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1045, author = {E.M. Elabbasy and S.H. Saker}, title = {Oscillation of delay differential equation with several positive and negative coefficients}, journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization}, volume = {23}, year = {2003}, pages = {39-52}, zbl = {1060.34035}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1045} }
E.M. Elabbasy; S.H. Saker. Oscillation of delay differential equation with several positive and negative coefficients. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 23 (2003) pp. 39-52. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1045/
[000] [1] H.A. Agwa, On the oscillation of delay differential equations with real coefficients, International Journal of Mathematics and Mathematics Sciences 22 (3) (1999), 573-578.
[001] [2] O. Arino, I. Gyori and A. Jawhari, Oscillation criteria in delay equation, J. Differential Equ. 53 (1984), 115-123. | Zbl 0547.34060
[002] [3] O. Arino, Y.G. Sficas and G. Ladas, On oscillation of some retarded differential equations, Siam J. Math. Anal. 18 (1987), 64-73. | Zbl 0566.34053
[003] [4] Y. Cheng, Oscillation in nonautonomous scalar differential equations with deviating arguments, Proc. AMS 110 (1990), 711-719. | Zbl 0736.34060
[004] [5] E.M. Elabbasy, S.H. Saker and K. Saif, Oscillation of nonlinear delay differential equations with application to models exhibiting the Allee effect, Far East Journal of Mathematical Sciences 1 (4) (1999), 603-620. | Zbl 0939.34061
[005] [6] E.M. Elabbasy and S.H. Saker, Oscillation of nonlinear delay differential equations with several positive and negative coefficients, Kyungpook Mathematics Journal 39 (1999), 367-377. | Zbl 0964.34054
[006] [7] E.M. Elabbasy, A.S. Hegazi and S.H. Saker, Oscillation to delay differential equations with positive and negative coefficients, Electronic J. Differential Equ. 2000 (13) (2000) 1-13. | Zbl 0944.34056
[007] [8] K. Gopalsamy, M.R.S. Kulenovic and G. Ladas, Oscillations and global attractivity in respiratory dynamics, Dynamics and Stability of Systems 4 (2) (1989), 131-139. | Zbl 0683.92009
[008] [9] I. Gyori, Oscillation conditions in scalar linear differential equations, Bull. Austral. Math. Soc. 34 (1986), 1-9. | Zbl 0585.34044
[009] [10] I. Gyori, Oscillation of retarded differential equations of the neutral and the mixed types, J. Math. Anal. Appl. 141 (1989), 1-20. | Zbl 0688.34045
[010] [11] I. Gyori and Ladas, Oscillation theory of delay differential equations with applications, Clarendon Press, Oxford 1991.
[011] [12] O. Hiroshi, Oscillatory properties of the first order nonlinear functional differential equations, Proceeding of Dynamic Systems and Applications 2 (Atlanta, GA 1995), 443-449. | Zbl 0867.34060
[012] [13] C.J. Hua and Y. Joinshe, Oscillation of solutions of a class of first order nonlinear differential equation with time lag, Acta Math. Sci. (Chinese) 15 (4) (1995), 368-375.
[013] [14] B.R. Hunt and J.A. Yorke, When all solutions of oscillate, J. Differential Equ. 53 (1984), 139-145. | Zbl 0571.34057
[014] [15] M.R.S. Kulenovic, G. Ladas and A. Meimaridou, On oscillation of nonlinear delay differential equations, Quart. Appl. Math. 45 (1987), 155-164. | Zbl 0627.34076
[015] [16] M.R.S. Kulenovic and G. Ladas, Linearized oscillations in population dynamics, Bull. Math. Biol. 44 (1987), 615-627. | Zbl 0634.92013
[016] [17] M.R.S. Kulenovic and G. Ladas, Linearized oscillation theory for second order delay differential equations, Canadian Mathematical Society Conference Proceeding 8 (1987), 261-267. | Zbl 0632.34070
[017] [18] M.R.S. Kulenovic and G. Ladas, Oscillations of sunflower equation, Quart. Appl. Math. 46 (1988), 23-38. | Zbl 0651.34035
[018] [19] M.K. Kwong, Oscillation of first-order delay equations, J. Math. Anal. Appl. 156 (1991), 274-286. | Zbl 0727.34064
[019] [20] G. Ladas and I.P. Stavroulakis, Oscillations caused by several retarded and advanced arguments, J. Differential Equ. 44 (1982), 143-152.
[020] [21] G. Ladas and Y.G. Sciicas, Oscillations of delay differential equations with positive and negative coefficients, Proceedings of the International Conference on Qualitative Theory of Differential Equations, University of Alberta, June 18-20, (1984), 232-240.
[021] [22] G. Ladas and C. Qian, Linearized oscillations for odd-order neutral delay differential equations, J. Differential Equ. 88 (2) (1990), 238-247. | Zbl 0717.34074
[022] [23] G. Ladas and C. Qian, Oscillation and global stability in a delay logistic equation, Dynamics and Stability of Systems 9 (1991), 153-162.
[023] [24] G. Ladas, C. Qian and J. Yan, A comparison result for oscillation of delay differential equation, Proc. AMS 114 (1992), 939-964. | Zbl 0748.34044
[024] [25] Y. Norio, Nonlinear oscillation of first order delay differential equations, Rocky Mountain J. Math. 26 (1) (1996), 361-373. | Zbl 0852.34064
[025] [26] C. Qian and G. Ladas, Oscillation in differential equations with positive and negative coefficients, Canad. Math. Bull. 33 (1990), 442-451. | Zbl 0723.34068
[026] [27] W. Qirui, Oscillations of first order nonlinear delay differential equations, Ann. Differential Equ. 12 (1) (1996), 99-104.
[027] [28] L. Rodica, Oscillatory solutions for equations with deviating arguments, Bull. Inst. Politehn. Iasi. Sect. I 36(40) (1-4) (1990), 41-46. | Zbl 0765.34050
[028] [29] J.J. Wei, Oscillation of first order sublinear differential equations with deviating arguments, Dongbei Shida Xuebao (1991), no. 3, 5-9 (in Chinese).
[029] [30] G. Xiping, Y. Jun and C. Sui Sun, Linearized comparison criteria for nonlinear neutral differential equations, Ann. Pollon. Math. 64 (2) (1996), 161-173.
[030] [31] B.G. Zhang and K. Gopalsamy, Oscillation and non-oscillation in a non-autonomous delay logistic model, Quart. Appl. Math. 46 (1988), 267-273. | Zbl 0648.34078