On Impulsive Hyperbolic Differential Inclusions with Nonlocal Initial Conditions

被引：31

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

共 34 条

[1] BELARBI A, 2006, J DIFFER EQUATIONS, P1
[2] Existence theory for perturbed impulsive hyperbolic differential inclusions with variable times
Belarbi, Abdelkader
Benchohra, Mouffak
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (02) : 1116 - 1129
[3] Benchohra M., 2003, Appl. Anal, V82, P1085, DOI [10.1080/00036810310001613160, DOI 10.1080/00036810310001613160]
[4] Benchora M., 2003, Miskolc Math. Notes, V4, P81, DOI [10.18514/MMN.2003.61, DOI 10.18514/MMN.2003.61]
[5] BENCHORA M, 2006, IMPULSIVE DIFFERENTI
[6] Bohnenblust H., 1950, Contributions to the theory of games, V1, P155
[7] EXTENSIONS AND SELECTIONS OF MAPS WITH DECOMPOSABLE VALUES
BRESSAN, A
COLOMBO, G
[J]. STUDIA MATHEMATICA, 1988, 90 (01) : 69 - 86
[8] Existence results for impulsive dynamic equations on time scales with nonlocal initial conditions
Chang, YK
Li, WT
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2006, 43 (3-4) : 377 - 384
[9] Existence results for second order impulsive functional differential inclusions
Chang, YK
Li, WT
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 301 (02) : 477 - 490
[10] CHANG YK, 2006, J APPL MATH STOCH AN, P1

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