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2003 SOBOLEV TYPE INTEGRODIFFERENTIAL EQUATION WITH NONLOCAL CONDITION IN BANACH SPACES
K. Balachandran, J.Y. Park
Taiwanese J. Math. 7(1): 155-163 (2003). DOI: 10.11650/twjm/1500407525

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.

Citation

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K. Balachandran. J.Y. Park. "SOBOLEV TYPE INTEGRODIFFERENTIAL EQUATION WITH NONLOCAL CONDITION IN BANACH SPACES." Taiwanese J. Math. 7 (1) 155 - 163, 2003. https://doi.org/10.11650/twjm/1500407525

Information

Published: 2003
First available in Project Euclid: 18 July 2017

zbMATH: 1032.45013
MathSciNet: MR1961045
Digital Object Identifier: 10.11650/twjm/1500407525

Subjects:
Primary: 34G20 , 47J05

Keywords: integrodifferential equation , nonlocal condition , Schauder's fixed point theorem , Sobolev type , uniformly continuous semigroup

Rights: Copyright © 2003 The Mathematical Society of the Republic of China

Vol.7 • No. 1 • 2003
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