On a nonlinear functional second order integrodifferential equation in Banach Spaces

P. M. Dhakane; D. B. Pachpatte

doi:10.26637/mjm101/004

Abstract

In this paper, we study the existence, uniqueness and other properties of solutions of a nonlinear functional second order Volterra integrodifferential equation in a general Banach space. The techniques used in our analysis are the theory of the strongly continuous cosine family, Schauder fixed point theorem and Pachpatte’s integral inequality.

Keywords:

Integrodifferential equations, Cosine family, Schauder’s fixed point theorem, Pachpatte’s integral inequality

Mathematics Subject Classification:

45D05, 34G20, 45N05, 45P05

Authors Imprint References Funding Related Articles Downloads

P. M. Dhakane Department of Mathematics, S. B. Science College, Aurangabad - 431 001, India.
D. B. Pachpatte Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431 001, India.

Pages: 27-37
Date Published: 01-01-2013
Vol. 1 No. 01 (2013): Malaya Journal of Matematik (MJM)

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