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

Authors

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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Published

2021-11-10

Issue

Vol. 14 No. 4: (October 2021)

Section

Nonlinear Analysis

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Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

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