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Abstract
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Journal of Applied Mathematics and Stochastic Analysis 
Volume 16 (2003), Issue 2, Pages 177-189
doi:10.1155/S1048953303000133

Integrodifferential equations with analytic semigroups

D. Bahuguna

Indian Institute of Technology, Kanpur, Department of Mathematics, Kanpur 208 016, India

Received 1 June 1998; Revised 1 September 2001

Abstract

In this paper we study a class of integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness, regularity and continuation of solutions to these integrodifferential equations.