Necessary Conditions of Optimality for Second-Order Nonlinear Impulsive Differential Equations
Advances in Difference Equations volume 2007, Article number: 040160 (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.
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Peng, Y., Xiang, X. & Wei, W. Necessary Conditions of Optimality for Second-Order Nonlinear Impulsive Differential Equations. Adv Differ Equ 2007, 040160 (2007). https://doi.org/10.1155/2007/40160