Title: New existence theorem for impulsive integro-differential equations of mixed type

Authors: Zhiguo Luo

Addresses: College of Mathematics and Computer Science, Jishou University, Jishou, Hunan 416000, PR China; Department of Mathematics, Hunan Normal University, Changsha, Hunan, 410081, PR China

Abstract: In this paper, we investigate the nonlinear boundary value problem for first order impulsive integro-differential equations of mixed type. New existence theorem of extremal solutions is established by new comparison principles and the monotone iterative technique. The result improves and extends the known relevant conclusion in the literature. Example is also provided to illustrate the advantage of our result.

Keywords: nonlinear boundary value; impulsive integro-differential equations; comparison principle; monotone iterative technique.

DOI: 10.1504/IJDSDE.2008.023004

International Journal of Dynamical Systems and Differential Equations, 2008 Vol.1 No.4, pp.283 - 290

Published online: 06 Feb 2009 *

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