Nonlinear functional integrodifferential equations in Hilbert space
J. Y. Park,1S. Y. Lee,1and M. J. Lee1
Received07 Nov 1996
Revised03 Nov 1997
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.