EXISTENCE AND RELAXATION THEOREM FOR A SECOND ORDER DIFFERENTIAL INCLUSION

被引：17

作者：

Azzam-Laouir, Dalila ^{[1
]}

Makhlouf, Amira ^{[1
]}

Thibault, Lionel ^{[2
]}

机构：

[1] Univ Jijel, Fac Sci, Lab Mat Pures & Appl, Jijel 18000, Algeria

[2] Univ Montpellier 2, Dept Math, Montpellier, France

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2010年 / 31卷 / 10期

关键词：

Differential inclusion; Pseudo-Lipschitz property; Selection;

D O I：

10.1080/01630563.2010.510982

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a separable Banach space we consider a three point boundary value problem for a second order differential inclusion of the form {(u) over dot(t) is an element of F (t, u(t), u(t)), a.e.t is an element of [0,1], u(0) = 0; u(theta) = u(1). We investigate the existence of solutions, when the multifunction F is unbounded-valued and satisfies a pseudo-Lipschitz property. Then, a Lipschitz case is derived and the associated relaxed problem is studied.

引用

页码：1103 / 1119

页数：17

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