Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions in Banach spaces

被引：72

作者：

Benchohra, M

Ntouyas, SK

机构：

[1] Univ Sidi Bel Abbes, Dept Math, Sidi Bel Abbes, Algeria

[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 258卷 / 02期

关键词：

initial value problems; convex multivalued map; neutral functional differential and integrodifferential inclusion; existence; fixed point; nonlocal conditions;

D O I：

10.1006/jmaa.2000.7394

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the existence of mild solutions on a compact interval to initial value problems for neutral functional differential and integrodifferential inclusions in Banach spaces with nonlocal conditions. The results are obtained by using a fixed point theorem for condensing maps due to Martelli. (C) 2001 Academic Press.

引用

页码：573 / 590

页数：18

共 28 条

[1]

[Anonymous], 1994, OSCILLATION THEORY F

[2]

Balachandran K, 1996, INDIAN J PURE AP MAT, V27, P443

[3]

Banas J, 1980, LECT NOTES PURE APPL

[4] Existence of mild solutions on noncompact intervals to second-order initial value problems for a class of differential inclusions with nonlocal conditions [J].