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SOBOLEV TYPE INTEGRODIFFERENTIAL EQUATION WITH NONLOCAL CONDITION IN BANACH SPACES

K. Balachandran and J. Y. Park
Taiwanese Journal of Mathematics
Vol. 7, No. 1 (March 2003), pp. 155-163
Stable URL: http://www.jstor.org/stable/43833364
Page Count: 9
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
SOBOLEV TYPE INTEGRODIFFERENTIAL EQUATION WITH NONLOCAL CONDITION IN BANACH SPACES
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Abstract

In this paper we prove the existence of mild and strong solutions of an integrodifferential equation of Sobolev type with nonlocal condition. The results are obtained by using uniformly continuous semigroups and the Schauder fixed point theorem.

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