Necessary Conditions for the Existence of a Saddle Point in one Optimal Control Problem for Systems of Hyperbolic Equations

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DOI:

https://doi.org/10.29020/nybg.ejpam.v14i4.4135

Keywords:

hyperbolic equation, necessary optimality condition, saddle point, increment method.

Abstract

In this paper, we consider one optimal control problem with a multipoint quality functional described by a system of nonlinear hyperbolic equations with Goursat boundary conditions. Using a modified version of the increment method, various necessary first-order optimality conditions such as the Pontryagin maximum principle and the linearized maximum condition are proved.

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How to Cite

Ramazanova, A. (2021). Necessary Conditions for the Existence of a Saddle Point in one Optimal Control Problem for Systems of Hyperbolic Equations. European Journal of Pure and Applied Mathematics, 14(4), 1402–1414. https://doi.org/10.29020/nybg.ejpam.v14i4.4135