Existence results for functional differential inclusions with infinite delay

被引：10

作者：

Hong, SH ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Dept Appl Math, Hangzhou 310018, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2006年 / 22卷 / 03期

关键词：

functional differential inclusion; phase space; infinite delay; measure of noncompactness;

D O I：

10.1007/s10114-005-0600-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the present paper is to investigate the existence of solutions to functional differential inclusions with infinite delay in Banach spaces. A relevant set of phase space axioms is proposed. The main tools used in this paper are certain fixed point theorems based on the set-contraction theory.

引用

页码：773 / 780

页数：8

共 13 条

[1]

[Anonymous], B GREEK MATH SOC

[2]

Benchohra M., 2001, ELECT J DIFFERENTIAL, V2001, P1

[3]

BENCHOHRA M, 2000, ELECT J DIFFERENTIAL, P1

[4]

Deimling K., 1992, MULTIVALUED DIFFEREN, DOI DOI 10.1515/9783110874228

[5]

Hale J. K., 1978, FUNKC EKVACIOJ-SER I, V21, P11

[6]

HENDERSON J, 1995, BOUNDARY VALUE PROBL

[7]

Lakshmikantham V., 1981, NONLINEAR DIFFERENTI

[8]

LASOTA A, 1965, B ACAD POL SCI SMAP, V13, P781

[9] Monotone iterative method for functional differential equations [J].

Nieto, JJ ;

Jiang, Y ;

Jurang, Y .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (06) :741-747

[10] EXISTENCE OF SOLUTIONS AND KAMKE THEOREM FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS IN BANACH-SPACES [J].

SHIN, JS .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 81 (02) :294-312

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