CONTROLLABILITY OF SECOND-ORDER SYSTEMS WITH NONLOCAL CONDITIONS IN BANACH SPACES

被引：22

作者：

Kumar, Surendra ^{[1
]}

Sukavanam, N. ^{[1
]}

机构：

[1] IIT Roorkee, Dept Math, Roorkee 247667, Uttarakhand, India

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2014年 / 35卷 / 04期

关键词：

Exact controllability; Fixed points; Mild solution; Nonlocal conditions; Second-order semilinear system; 93B05; DIFFERENTIAL INCLUSION;

D O I：

10.1080/01630563.2013.814067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, exact controllability of second-order semilinear differential system with nonlocal conditions in Banach spaces is studied. To establish sufficient conditions for exact controllability, Sadovskii's fixed point theorem together with the theory of strongly continuous cosine family is been used. The cosine family and the nonlinear function associated with the system are assumed to be non-compact. An example is given to illustrate the developed theory.

引用

页码：423 / 431

页数：9

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