Existence Results on General Integrodifferential Evolution Equations in Banach Space

Affiliation(s)

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.

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.

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.

Cite this paper

K. Sathiyanathan and T. Gopal, "Existence Results on General Integrodifferential Evolution Equations in Banach Space,"*Applied Mathematics*, Vol. 4 No. 1, 2013, pp. 149-154. doi: 10.4236/am.2013.41025.

K. Sathiyanathan and T. Gopal, "Existence Results on General Integrodifferential Evolution Equations in Banach Space,"

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