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Abstract
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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

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.