Existence results of nonnegative solutions of asymptotically linear, nonlinear integral equations are studied.
@article{118791, author = {Michal Fe\v ckan}, title = {Nonnegative solutions of nonlinear integral equations}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {36}, year = {1995}, pages = {615-627}, zbl = {0840.45007}, mrnumber = {1378685}, language = {en}, url = {http://dml.mathdoc.fr/item/118791} }
Fečkan, Michal. Nonnegative solutions of nonlinear integral equations. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 615-627. http://gdmltest.u-ga.fr/item/118791/
Fixed points of asymptotically linear maps in ordered Banach spaces, J. Functional Analysis 14 (1973), 162-171. (1973) | MR 0350527 | Zbl 0263.47043
The Dual Variational Principle and elliptic problems with discontinuous nonlinearities, J. Math. Anal. Appl. 140 (1989), 363-373. (1989) | MR 1001862 | Zbl 0687.35033
Integral equations of convolution type with power nonlinearity, Coll. Math. 62 (1991), 49-65. (1991) | MR 1114619 | Zbl 0738.45003
An extension of Leray-Schauder degree and applications to nonlinear wave equations, Diff. Int. Equations 3 (1990), 945-963. (1990) | MR 1059342 | Zbl 0724.47024
Nonlinear Functional Analysis, Springer-Verlag Berlin (1985). (1985) | MR 0787404 | Zbl 0559.47040
Critical points of asymptotically quadratic functions, Annales Polon. Math. LXI.1 (1995), 63-76. (1995) | MR 1318318
Ordinary differential equations with discontinuous nonlinearities, Atti Sem. Mat. Fis. Univ. Modena XLI (1993), 431-444. (1993) | MR 1248009
On the topological degree for a class of mappings of monotone type and applications to strongly nonlinear elliptic problems, Ann. Acad. Sci. Fenn. Ser. A I Math. Dissertationes 91 (1994). (1994) | MR 1263099
Positive Solutions of Operator Equations, Noordhoff Groningen (1964). (1964) | MR 0181881
Introduction to the Theory of Nonlinear Elliptic Equations, Teubner Leipzig (1983). (1983) | MR 0731261
On a non-linear convolution equation occurring in the theory of water percolation, Annal. Polon. Math. 37 (1980), 223-229. (1980) | MR 0587492
On the existence and uniqueness of nonnegative solutions of certain nonlinear convolution equation, Annal. Polon. Math. 36 (1979), 61-72. (1979) | MR 0529307
Solvability of various boundary value problems for the equation $x''=$ $f(t,x,x',x'')-y$, Pacific J. Math. 122 (1986), 169-195. (1986) | MR 0825230 | Zbl 0585.34020
Existence of nonnegative solutions of a semilinear equation at resonance with linear growth, Proc. Amer. Math. Soc. 105 (1989), 963-971. (1989) | MR 0964462