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Existence Results on General Integrodifferential Evolution Equations in Banach Space
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, India
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, India
- 1 Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, India
- 2 Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, India
Applied Mathematics·Volume 04 (2013)·Pages 149–154·Published 25 January 2013·DOI10.4236/am.2013.41025
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Abstract
In this paper we prove the existence of mild solutions of a general class of nonlinear evolution integrodifferential equation in Banach spaces. Based on the resolvent operator and the Schaefer fixed point theorem, a sufficient condition for the existence of general integrodifferential evolution equations is established.
KeywordsExistenceNonlinear Integrodifferential Evolution EquationResolvent OperatorSchaefer’s Fixed Point Theorem
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