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학술저널

EXISTENCE OF MILD SOLUTIONS IN THE ??-NORM FOR SOME PARTIAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

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In this work, we discuss the existence of mild solutions in the ??-norm for some partial functional integrodi??erential equa-tions with in¯nite delay. We assume that the linear part generates an analytic semigroup on a Banach space X and the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part.

1. Introduction

2. Preliminaries

3. Main theorem

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