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2007 NONLOCAL CAUCHY PROBLEM FOR SECOND ORDER INTEGRODIFFERENTIAL EVOLUTION EQUATIONS IN BANACH SPACES
K. Balachandran, J.-H. Kim
Taiwanese J. Math. 11(5): 1343-1357 (2007). DOI: 10.11650/twjm/1500404868

Abstract

In this paper we derive a set of sufficient conditions for the existence of mild solutions of second order nonlinear integrodifferential evolution equations with nonlocal conditions in Banach spaces. The results are obtained by applying the Schaefer fixed point theorem. An application is provided to illustrate the technique.

Citation

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K. Balachandran. J.-H. Kim. "NONLOCAL CAUCHY PROBLEM FOR SECOND ORDER INTEGRODIFFERENTIAL EVOLUTION EQUATIONS IN BANACH SPACES." Taiwanese J. Math. 11 (5) 1343 - 1357, 2007. https://doi.org/10.11650/twjm/1500404868

Information

Published: 2007
First available in Project Euclid: 18 July 2017

zbMATH: 1162.34047
MathSciNet: MR2368653
Digital Object Identifier: 10.11650/twjm/1500404868

Subjects:
Primary: 34G20

Keywords: existence of solutions , Integrodifferential equations , Schaefer's theorem , Second order evolution equation

Rights: Copyright © 2007 The Mathematical Society of the Republic of China

Vol.11 • No. 5 • 2007
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