Second-order nonlinear impulsive evolution equations with time-varying generating operators and optimal controls

被引：8

作者：

Peng, Y. ^{[1
]}

Xiang, X. ^{[1
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

来源：

OPTIMIZATION | 2008年 / 57卷 / 06期

关键词：

unbounded operator matrix; evolution system; impulse; existence; compactness; optimal control;

D O I：

10.1080/02331930701761391

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this article, the second-order nonlinear impulsive evolution differential equations with time-varying generating operators is considered. Constructing evolution systems generated by time-varying operator matrix, we introduce suitable mild solution of the second-order nonlinear impulsive evolution differential equations. The existence and uniqueness of the mild solutions and the continuous dependence on initial value are proved. The existence of the optimal controls for a Lagrange problem of the systems governed by the second-order nonlinear impulsive evolution equations is also presented. An example is given for demonstration.

引用

页码：827 / 840

页数：14

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