Existence solutions for second-order differential inclusions with nonconvex perturbations

被引：18

作者：

Azzam-Laouir, Dalila ^{[1
]}

Lounis, Sabrina

Thibault, Lionel

机构：

[1] Univ Jijel, Lab Math Pures & Appl, Jijel, Algeria

[2] Univ Montpellier 2, Dept Math, F-34095 Montpellier 5, France

来源：

APPLICABLE ANALYSIS | 2007年 / 86卷 / 10期

关键词：

boundary value problems; differential inclusions; fixed point theorems; mixed semicontinuity; selections;

D O I：

10.1080/00036810701460511

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The article studies the three-point boundary value problems for second-order perturbed differential inclusions of the form u(t) epsilon F(t,u(t),u(t)) + H(t,u(t),u(t)) a.e. on [0, 1]. The existence of solutions is proved under nonconvexity condition for the multifunction H.

引用

页码：1199 / 1210

页数：12

共 12 条

[1]

Averna D., 1999, REND SEM MAT U PAD, V102, P285

[2]

Azzam DL, 2002, CONTROL CYBERN, V31, P659

[3]

Azzam-Laouir D., 2005, J NONLINEAR CONVEX A, V6, P339

[4]

Azzam-Laouir D., 2003, THESIS

[5] EXTENSIONS AND SELECTIONS OF MAPS WITH DECOMPOSABLE VALUES [J].

BRESSAN, A ;

COLOMBO, G .

STUDIA MATHEMATICA, 1988, 90 (01) :69-86

[6]

Castaing C., 1972, B SOC MATH FRANCE, V31, P73, DOI [10.24033/msmf.66, DOI 10.24033/MSMF.66]

[7]

Castaing C, 1977, LECT NOTES MATH, V580, DOI DOI 10.1007/BFB0087686

[8] Mixed semicontinuous mappings and their applications to differential inclusions [J].

Fryszkowski, A ;

Górniewicz, L .

SET-VALUED ANALYSIS, 2000, 8 (03) :203-217

[9] CONTINUOUS-SELECTIONS FOR A CLASS OF NON-CONVEX MULTIVALUED MAPS [J].

FRYSZKOWSKI, A .

STUDIA MATHEMATICA, 1983, 76 (02) :163-174

[10]

Olech C., 1975, B UNIONE MAT ITAL, V4, P189

← 1 2 →