Advances in Difference Equations
Volume 2007 (2007), Article ID 40160, 17 pages
doi:10.1155/2007/40160

Necessary conditions of optimality for second-order nonlinear impulsive differential equations

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.