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http://dx.doi.org/10.14403/jcms.2014.27.3.393

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

Jang, Hyun Ho (CNU Center for Innovative Engineering Education Chungnam National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.27, no.3, 2014 , pp. 393-401 More about this Journal
Abstract
In this work, we discuss the existence of mild solutions in the ${\alpha}$-norm for some partial functional integrodifferential equations with infinite 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.
Keywords
an analytic semigroup; ${\alpha}$-norm; nonlocal conditions;
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