Bound sets approach to boundary value problems for vector second-order differential inclusions

被引：8
作者：
Andres, Jan [1 ]
Kozusnikova, Martina [1 ]
Malaguti, Luisa [2 ]
机构：
[1] Palacky Univ, Fac Sci, Dept Math Anal & Appl Math, Olomouc 77900, Czech Republic
[2] Univ Modena & Reggio Emilia, Dept Engn Sci & Methods, I-42100 Reggio Emilia, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 1-2期
关键词：
Vector second-order boundary value problems; Upper-Caratheodory differential inclusions; Topological methods; Floquet problem; Bounding functions; Viability result; PERIODIC-SOLUTIONS; EQUATIONS; SYSTEMS; EXISTENCE;
D O I：
10.1016/j.na.2008.10.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A continuation principle is established for the solvability of vector second-order boundary value problems associated with upper-Caratheodory differential inclusions. For Floquet second-order problems, this principle is combined with a bound sets approach. The viability result is also obtained in this way. (c) 2008 Elsevier Ltd. All rights reserved.
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页码：28 / 44
页数：17
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