Open Access

Necessary Conditions of Optimality for Second-Order Nonlinear Impulsive Differential Equations

Advances in Difference Equations20072007:040160

DOI: 10.1155/2007/40160

Received: 2 February 2007

Accepted: 5 July 2007

Published: 20 September 2007

Abstract

We discuss the existence of optimal controls for a Lagrange problem of systems governed by the second-order nonlinear impulsive differential equations in infinite dimensional spaces. We apply a direct approach to derive the maximum principle for the problem at hand. An example is also presented to demonstrate the theory.

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Authors’ Affiliations

(1)
Department of Mathematics, Guizhou University

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Copyright

© Y. Peng et al. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.