TOPOLOGICAL STRUCTURE OF SOLUTION SET FOR A CLASS OF FRACTIONAL NEUTRAL EVOLUTION EQUATIONS ON THE HALF-LINE

被引：7

作者：

Le Hoan Hoa ^{[1
]}

Nguyen Ngoc Trong ^{[1
]}

Le Xuan Truong ^{[2
]}

机构：

[1] Univ Pedag HoChiMinh City, Dept Math, 280 An Duong Vuong Str,Dist 5, Hochiminh City, Vietnam

[2] Univ Econ HoChiMinh City, Dept Math & Stat, 59C Nguyen Dinh Chieu Str,Dist 3, Hochiminh City, Vietnam

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2016年 / 48卷 / 01期

关键词：

Topology structure; solution set; fractional differential equation; Krasnosel'skii type operator; EXISTENCE;

D O I：

10.12775/TMNA.2016.044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A topological structure of the set of all mild solutions of fractional neutral evolution equations with finite delay on the half-line is investigated. We show that the solution set is an R-delta-set. It is proved on compact intervals by establishing a result on topological structure of fixed point set of Krasnosel'skii type operators. Next, using the inverse limit method, we obtain the same result on the half-line.

引用

页码：235 / 255

页数：21

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