Boundary value problems for functional differential equations with nonlinear boundary conditions


P. CH. Tsamatos


Address. Department of Mathematics, University of Ioannina, 451 10 Ioannina, GREECE

E-mail: ptsamato@cc.uoi.gr

Abstract. 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.

AMSclassification. 34K10

Keywords. Leray-Schauder Alternative, a priori bounds, functional integrodifferential equations, second order boundary value problem, nonlinear boundary conditions