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Existence of solutions to neutral differential equations with deviated argument

Muslim, M and Bahuguna, D (2008) Existence of solutions to neutral differential equations with deviated argument. In: Electronic Journal of Qualitative Theory of Differential Equations (27). pp. 1-12.

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Abstract

In this paper we shall study a neutral differential equation with deviated argument in an arbitrary Banach space X. With the help of the analytic semigroups theory and fixed point method we establish the existence and uniqueness of solutions of the given problem. Finally, we give examples to illustrate the applications of the abstract results.

Item Type: Journal Article
Publication: Electronic Journal of Qualitative Theory of Differential Equations
Publisher: Bolyai Institute, University of Szeged
Keywords: Neutral differential equation with deviated argument;Banach fixed point theorem;Analytic semigroup.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 03 Nov 2008 05:40
Last Modified: 19 Sep 2010 04:51
URI: http://eprints.iisc.ac.in/id/eprint/16181

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