International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 4, Pages 847-854
doi:10.1155/S0161171299228475

Nonlinear functional integrodifferential equations in Hilbert space

J. Y. Park, S. Y. Lee, and M. J. Lee

Department of Mathematics, Pusan National University, Pusan 609-735, Korea

Received 7 November 1996; Revised 3 November 1997

Copyright © 1999 J. Y. Park et al. 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

Let X be a Hilbert space and let Ω⊂Rn be a bounded domain with smooth boundary ∂Ω. We establish the existence and norm estimation of solutions for the parabolic partial functional integro-differential equation in X by using the fundamental solution.