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6th International Conference on Differential Equations and Dynamical Systems
May 22-26, 2008

Baltimore, Maryland, USA

Organizers
Xinzhi Liu, University of Waterloo; Gaston M. N'Guerekata, Morgan State University

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Nonlocal impulsive problems for integrodifferential equations
by
J. H. Liu
Department of Mathematics, James madison University, Harrisonburg, VA, 22807 USA

We study the existence and uniqueness of mild solutions for a nonlinear impulsive integrodifferential equation with nonlocal condition
u'(t) = Au(t)+ ó
õ 		t

0 
 B(t-s)u(s)ds +f(t, u(t)),     0 ≤ t ≤ K,     t ≠ ti,
u(0) +g(u) = u0,
Du(ti) = Ii (u(ti )),     i=1, 2, ..., p,     0 < t1 < t2 < ... < tp < K,
by combining and extending some earlier work in this area. Here, A is the generator of a strongly continuous semigroup in a Banach space, g constitutes a nonlocal condition, and Du(ti) = u(ti +) -u(ti - ) constitutes an impulsive condition. New results are obtained

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Date received: January 16, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavk-76.