Strictly localized bounding functions for vector second-order boundary value problems

被引：9

作者：

Andres, Jan ^{[1
]}

Malaguti, Luisa ^{[2
]}

Pavlackova, Martina ^{[1
]}

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 / 12期

关键词：

Vector second-order Floquet problem; Strictly localized bounding functions; Solutions in a given set; Scorza-Dragoni technique; Evolution systems; Dry friction problem; Coexistence of periodic and anti-periodic solutions; DIFFERENTIAL-INCLUSIONS; SETS;

D O I：

10.1016/j.na.2009.05.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The solvability of the second-order Floquet problem in a given set is established by means of C(2)-bounding functions for vector upper-Caratheodory systems. The applied Scorza-Dragoni type technique allows us to impose related conditions strictly on the boundaries of bound sets. An illustrating example is supplied for a dry friction problem. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：6019 / 6028

页数：10

共 19 条

[1]

Andres J, 2001, Z ANAL ANWEND, V20, P709

[2]

Andres J, 2007, DYNAM SYST APPL, V16, P37

[3]

Andres J, 2009, DYNAM SYST APPL, V18, P275

[4] Bound sets approach to boundary value problems for vector second-order differential inclusions [J].

Andres, Jan ;

Kozusnikova, Martina ;

Malaguti, Luisa .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) :28-44

[5] On the Floquet problem for second-order Marchaud differential systems [J].

Andres, Jan ;

Kozusnikova, Martina ;

Malaguti, Luisa .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 351 (01) :360-372

[6]

[Anonymous], ABSTR APPL MATH

[7]

[Anonymous], 2003, TOPOLOGICAL FIXED PO

[8]

Aubin JP., 1984, Differential Inclusions: Set-Valued Maps and Viability Theory, Grundlehren der mathematischen Wissenschaften

[9] The solution set to BVP for some functional differential inclusions [J].

Augustynowicz, A ;

Dzedzej, Z ;

Gelman, BD .

SET-VALUED ANALYSIS, 1998, 6 (03) :257-263

[10]

BENEDETTI I, SHARP CONDITIO UNPUB

← 1 2 →