Existence Results on General Integrodifferential Evolution Equations in Banach Space - Applied Mathematics

AM > Vol.4 No.1, January 2013

Existence Results on General Integrodifferential Evolution Equations in Banach Space ()

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DOI: 10.4236/am.2013.41025 4,461 Downloads 6,516 Views Citations

Author(s)

K. Sathiyanathan, T. Nandha Gopal

Affiliation(s)

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.

KEYWORDS

Existence; Nonlinear Integrodifferential Evolution Equation; Resolvent Operator; Schaefer’s Fixed Point Theorem

Share and Cite:

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.

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