Boundary Value Problems
Volume 2005 (2005), Issue 3, Pages 263-288

On a boundary value problem for nonlinear functional differential equations

Robert Hakl

Mathematical Institute, Academy of Sciences of the Czech Republic, Žižkova 22, Brno 616 62, Czech Republic

Received 21 August 2004; Revised 1 March 2005

Copyright © 2005 Robert Hakl. 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.


We consider the problem u(t)=H(u)(t)+Q(u)(t), u(a)=h(u), where H,Q:C([a,b];R)L([a,b];R) are, in general, nonlinear continuous operators, Habαβ(g0,g1,p0,p1), and h:C([a,b];R)R is a continuous functional. Efficient conditions sufficient for the solvability and unique solvability of the problem considered are established.