International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 3, Pages 509-516

Existence of solutions of boundary value problems for functional differential equations

S. K. Ntouyas and P. Ch. Tsamatos

University of Ioannina, Department of Mathematics, Ioannina, Greece

Received 27 September 1989; Revised 10 October 1990

Copyright © 1991 S. K. Ntouyas and P. Ch. Tsamatos. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper, using a simple and classical application of the Leray-Schauder degree theory, we study the existence of solutions of the following boundary value problem for functional differential equations x(t)+f(t,xt,x(t))=0,   t[0,T]x0+αx(0)=hx(T)+βx(T)=η where fC([0,T]×Cr×n,n), hCr, ηn and α, β, are real constants.