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

Advances in Difference Equations20072007:040160

Received: 2 February 2007

Accepted: 5 July 2007

Published: 20 September 2007


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.


Authors’ Affiliations

Department of Mathematics, Guizhou University


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© Y. Peng et al. 2007

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