On Impulsive Hyperbolic Differential Inclusions with Nonlocal Initial Conditions

被引：33

作者：

Chang, Y. -K. ^{[1
]}

Nieto, J. J. ^{[2
]}

Li, W. -S. ^{[1
]}

机构：

[1] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China

[2] Univ Santiago Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2009年 / 140卷 / 03期

关键词：

Impulsive inclusions; Hyperbolic differential inclusions; Multivalued maps; Fixed points; Nonlocal initial conditions; PERIODIC PROBLEMS; EXISTENCE; EQUATIONS; TRAJECTORIES; MODELS;

D O I：

10.1007/s10957-008-9468-1

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper is focused mainly upon existence of solutions for a second-order impulsive hyperbolic differential inclusions with nonlocal initial conditions. By using some well-known fixed-point theorems, existence theorems are established when the multivalued map has convex or nonconvex values. As applications of these main theorems, some consequences are given for the sublinear growth cases.

引用

页码：431 / 442

页数：12

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