Nonlinear impulsive partial functional differential inclusions with state-dependent delay and multivalued jumps

被引：3

作者：

Abada, Nadjet ^{[2
]}

Benchohra, Mouffak ^{[1
]}

Hammouche, Hadda

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Math Lab, Sidi Bel Abbes 22000, Algeria

[2] Univ Mentouri Constantine, Dept Math, Constantine, Algeria

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2010年 / 4卷 / 04期

关键词：

Partial differential inclusions; Impulses; Multivalued jumps; State-dependent delay; Integral solution; Semigroup; EVOLUTION SYSTEMS; EXISTENCE; EQUATIONS;

D O I：

10.1016/j.nahs.2010.05.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we shall establish sufficient conditions for the existence of integral solutions for some nondensely defined impulsive semilinear functional differential inclusions with state-dependent delay in separable Banach spaces. We shall rely on a fixed point theorem for the sum of completely continuous and contraction operators. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：791 / 803

页数：13

共 49 条

[1]

Abada N., 2007, Discussiones Mathematicae Differential Inclusions, Control and Optimization, V27, P329, DOI 10.7151/dmdico.1088

[2] Existence and controllability results for impulsive partial functional differential inclusions [J].

Abada, Nadjet ;

Benchohra, Mouffak ;

Hammouche, Hadda .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (09) :2892-2909

[3] EXISTENCE RESULTS FOR NONDENSELY DEFINED IMPULSIVE SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY [J].

Abada, Nadjet ;

Agarwal, Ravi P. ;

Benchohra, Mouffak ;

Hammouche, Hadda .

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2008, 1 (04) :449-468

[4]

Ahmed N, 2000, INT J DIFFERENTIAL E, V1, P37

[5]

Ahmed N.U., 1991, Pitman Research Notes in Mathematics Series, V246

[6]

Ahmed NasirUddin., 2006, Dynamic Systems and Control with Applications

[7] Systems governed by impulsive differential inclusions on Hilbert spaces [J].

Ahmed, NU .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 45 (06) :693-706

[8]

[Anonymous], 1995, World Sci. Ser. Nonlinear Sci., Ser. A., DOI DOI 10.1142/2892

[9]

[Anonymous], ATTI ACCAD NAZ LINCE

[10]

[Anonymous], 2006, CONT MATH ITS APPL

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