Article
Full entry |
PDF
(0.2 MB)
Feedback
PDF
(0.2 MB)
Feedback
Keywords:
Leray-Schauder Alternative; a priori bounds; functional integrodifferential equations; second order boundary value problem; nonlinear boundary conditions
Leray-Schauder Alternative; a priori bounds; functional integrodifferential equations; second order boundary value problem; nonlinear boundary conditions
Summary:
This paper is concerned with the existence of solutions for some class of functional integrodifferential equations via Leray-Schauder Alternative. These equations arised in the study of second order boundary value problems for functional differential equations with nonlinear boundary conditions.
References:
[1] Baxley, J. V.: Existence theorems for nonlinear second order boundary value problems. J. Differential Equations 85 (1990), 125–150. MR 1052331 | Zbl 0704.34021
[2] Erbe, L. H., Qingai Kong and Zhang, B. G.: Oscillation Theory for Functional Differential Equations. Pure and Applied Mathematics, 1994.
[3] Fabry , Ch., Habets, P.: Upper and lower solutions for second order boundary value problems with nonlinear boundary conditions. Nonlinear Analysis T.M.A. 10 (1986), 985–1007. MR 0857735
[4] Gaines, R.: A priori bounds for solutions to nonlinear two-point boundary value problems. Applicable Analysis 3 (1973), 157–167. MR 0393630 | Zbl 0276.34014
[5] Gaines, R., Mawhin, J.: Ordinary differential equations with nonlinear boundary conditions. J. Differential Equations 26 (1977), 200–222. MR 0463557
[6] Garner, J. B., Shivaji, R.: Diffusion problems with a mixed nonlinear boundary conditions. Nonlinear Analysis T.M.A. 148 (1990), 422–430. MR 1052353
[7] Guenther, J. R. B., Lee, J. W.: Some existence results for nonlinear integral equations via topological transversality. J. Integral Equations and Appl. 5 (1993), 195–209. MR 1229437
[8] Henderson, J.: Boundary Value Problems for Functional Differential Equations. World Scientific, 1982. MR 1375459
[9] Ntouyas, S. K., Sficas, Y., Tsamatos, P. Ch.: An existence principle for boundary value problems for second order functional differential equations. Nonlinear Analysis T.M.A. 20 (1993), 195–209. MR 1202200
[10] Ntouyas, S. K., Sficas, Y., Tsamatos, P. Ch.: Boundary value problems for functional differential equations. J.Math.Anal.Appl. 199 (1996), 213–230. MR 1381388
[11] Oregan, D.: Weak and strong topologies and integral equations in Banach spaces. Ann. Polon. Math. LXL3 (1995), 245–260. MR 1333250
[12] Rachůnková, I.: Boundary value problems with nonlinear boundary conditions. acta Math. Inform. Universitatis Ostraviensis 2 (1994), 71–77. MR 1309065
[13] Tsamatos, P. Ch., Ntouyas, S. K.: Some results on boundary value problems for functional differential equations. Internat. J. Math. and Math. Sci. 19 (1995), 335–342. MR 1375998
Search
Partner of
