Necessary and sufficient existence conditions for a boundary control of vibrations of a string and a spherical layer for small times

被引：0

作者：

S. A. Sergeev

机构：

[1] Moscow State University,

来源：

Differential Equations | 2011年 / 47卷

关键词：

Integral Condition; Terminal Condition; Boundary Control; Spherical Layer; Terminal Time;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We find necessary and sufficient conditions for the existence of a boundary control of vibrations of a string or a spherical layer for critical and subcritical times. We completely analyze the existence of a boundary control of vibrations of a spherical layer by a force on two spheres. We find necessary and sufficient existence conditions for the control. Along with the control problem for vibrations of a spherical layer, we consider a similar control problem for string vibrations.

引用

页码：746 / 757

页数：11

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