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19th International Conference on Operator Theory
June 27 - July 2, 2002
Institute of Mathematics of the Romanian Academy and the Faculty of Mathematics of the West University of Timisoara
Timisoara, Romania

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On Existence of Solutions of Semilinear Impulsive Functional Differential Equations with Nonlocal Conditions
by
Haydar Akca
King Fahd University of Petroleum and Minerals, Department of Mathematical Science, Dhahran 31261, Saudi Arabia
Coauthors: Valéry Covachev (Institute of Mathematics, Bulgarian Academy of Sciences), Eada Al-Zahrani (Science College for Girls, Damman, Saudi Arabia)

The existence, uniqueness and continuous dependence of a mild solution of a semilinear impulsive functional-differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a C0 semigroup of operators and the Banach contraction theorem are applied.

Keywords: semilinear, impulsive, functional-differential equations, nonlocal conditions, mild solution.

http://www.kfupm.edu.sa/webmath/acka.htm

Date received: March 21, 2002

Copyright © 2002 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 # caiz-02.