Rδ-STRUCTURE OF SOLUTIONS SET FOR A VECTOR EVOLUTION INCLUSIONS DEFINED ON RIGHT HALF-LINE

被引：1

作者：

Cheng, Yi ^{[1
]}

Agarwal, Ravi P. ^{[2
]}

Qin, Sitian ^{[3
]}

机构：

[1] Bohai Univ, Dept Math, Jinzhou 121013, Peoples R China

[2] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA

[3] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China

来源：

FIXED POINT THEORY | 2018年 / 19卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Vector differential inclusion; topological structure; nonlocal condition; inverse limit; growth condition; R-delta set; DIFFERENTIAL-INCLUSIONS; FRECHET SPACES; TOPOLOGICAL-STRUCTURE; EQUATIONS; SYSTEMS;

D O I：

10.24193/fpt-ro.2018.1.10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the topological structure of a first order vector differential inclusion defined on right half-line. Under some general growth conditions, the R-delta structure of continue solution set for Cauchy problem on compact interval is investigated. Then by the inverse limit method, the R-delta structure is also obtained on noncompact interval. Further, using the related results of structure, we obtain the existence and topological structure of solution set for some nonlocal problems. Subsequently a optimal dual control problem is considered and an R-delta structure of attainable set based on the proven results is obtained.

引用

页码：123 / 140

页数：18

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