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
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.
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页码:1199 / 1210
页数:12
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