Optimal control problem for the equation of vibrations of an elastic plate

被引：1

作者：

Guliyev, Hamlet F. ^{[1
]}

Seyfullaeva, Khayala I. ^{[2
]}

机构：

[1] Baku State Univ, Z Khalilov Str 23, AZ-1148 Baku, Azerbaijan

[2] Sumgayit State Univ, Baku Str 1, AZ-5008 Sumgayit, Azerbaijan

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2018年 / 25卷 / 03期

关键词：

Elastic plate; vibration equation; optimal control; existence theorem;

D O I：

10.1515/gmj-2017-0004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An optimal control problem for the vibration equation of an elastic plate is considered when the control function is included in the coefficient of the highest order derivative and the right-hand side of the equation. The solvability of the initial boundary value problem is shown, the theorem on the existence of an optimal control is proved and a necessary condition of optimality in the form of an integral equation is obtained.

引用

页码：371 / 379

页数：9

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