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http://dx.doi.org/10.14317/jami.2015.045

EXISTENCE RESULTS FOR NEUTRAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH INFINITE DELAY IN BANACH SPACES  

Chandrasekaran, S. (Department of Mathematics, SNS College of Technology)
Karunanithi, S. (Department of Mathematics, Kongunadu Arts and Science College)
Publication Information
Journal of applied mathematics & informatics / v.33, no.1_2, 2015 , pp. 45-60 More about this Journal
Abstract
This paper is concerned with the existence of mild solutions for partial neutral functional integrodifferential equations with infinite delay in Banach spaces. The results are obtained by using resolvent operators and Krasnoselski-Schaefer type fixed point theorem. An example is provided to illustrate the results.
Keywords
Integrodifferential equations; compact resolvent operators and their operator norm continuity; mild solution and infinite delay;
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