The Problem of the Optimal Control with a Lower Coefficient for Weakly Nonlinear Wave Equation in the Mixed Problem

Authors

  • Gunay Ismayilova Sumgait State University

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i2.3650

Keywords:

coefficient, weakly nonlinear equation, optimal control, necessary condition

Abstract

In this paper, we consider the problem of determining the lowest coefficient of weakly nonlinear wave equation. The problem is reduced to the optimal control problem, in the new problem. In the this existence theorem of the optimal control and, the Fre Ìechet differentiability of the functional is proved. Also the necessary condition of optimality is derived in view of variational inequality.

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Published

2020-04-29

Issue

Vol. 13 No. 2: (April 2020)

Section

Nonlinear Analysis

License

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

The Problem of the Optimal Control with a Lower Coefficient for Weakly Nonlinear Wave Equation in the Mixed Problem. (2020). European Journal of Pure and Applied Mathematics, 13(2), 314-322. https://doi.org/10.29020/nybg.ejpam.v13i2.3650