DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS: EXISTENCE RESULTS AND TOPOLOGICAL PROPERTIES OF SOLUTION SETS

被引：0

作者：

Graef, John R. ^{[1
]}

Henderson, Johnny ^{[2
]}

Ouahab, Abdelghani ^{[3
]}

机构：

[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[2] Baylor Univ, Dept Math, Waco, TX 76798 USA

[3] Sidi Bel Abbes Univ, Dept Math, Sidi Bel Abbes 22000, Algeria

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2011年 / 37卷 / 01期

关键词：

Differential inclusions; nonlocal conditions; solution set; compactness; R-delta; R-delta-contractibility; acyclicity; proximate retract; tangential conditions; viable solutions; PERIODIC-SOLUTIONS; THEOREMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the topological structure of solution sets for the first-order differential inclusions with nonlocal conditions: {y'(t) is an element of F(t, y(t)) a.e. t is an element of [0, b], y(0) + g(y) = y0, where F: [0, b] x R-n -> P(R-n) is a multivalued map. Also, some geometric properties of solution sets, R-delta, R-delta-contractibility and acyclicity, corresponding to Aronszajn-Browder-Gupta type results, are obtained. Finally, we present the existence of viable solutions of differential inclusions with nonlocal conditions and we investigate the topological properties of the set constituted by these solutions.

引用

页码：117 / 145

页数：29

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