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

S. K. Ntouyas and P. Ch. Tsamatos

 University of Ioannina, Department of Mathematics, Ioannina 451 10, Greece
Received 1 June 1994; Revised 1 August 1996

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.