Journal of Applied Mathematics and Stochastic Analysis
Volume 10 (1997), Issue 2, Pages 157-168
doi:10.1155/S1048953397000191
Initial and boundary value problems for partial functional differential equations
University of Ioannina, Department of Mathematics, Ioannina 451 10, Greece
Received 1 June 1994; Revised 1 August 1996
Copyright © 1997 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.
Abstract
In this paper we study the existence of solutions to initial and boundary
value problems of partial functional differential equations via a fixed-point
analysis approach. Using the topological transversality theorem we derive
conditions under which an initial or a boundary value problem has a solution.