학술저널
EXISTENCE OF MILD SOLUTIONS IN THE ??-NORM FOR SOME PARTIAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 27, No. 3
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2014.08393 - 401 (9 pages)
- 2
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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