Existence of solutions of nonlinear differential equations with nonlocal conditions

被引：17

作者：

Benchohra, M

Ntouyas, SK

机构：

[1] Univ Sidi Bel Abbes, Dept Math, Sidi Bel Abbes 22000, Algeria

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 252卷 / 01期

关键词：

nonlocal condition; mild solution; evolution;

D O I：

10.1006/jmaa.2000.7106

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 to first order semilinear differential equations in Banach spaces with nonlocal conditions. We shall rely on a fixed point theorem for compact maps due to Schaefer. (C) 2000 Academic Press.

引用

页码：477 / 483

页数：7

共 14 条

[1]

ANICHINI G, 1988, NONLINEARITY, V1, P1

[2]

ANICHINI G, 1977, NONLINEAR ANAL, V1, P691

[3]

BALACHANDRAN K, 1994, INDIAN J PURE AP MAT, V25, P411

[4]

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

[5] THEOREMS ABOUT THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF A SEMILINEAR EVOLUTION NONLOCAL CAUCHY-PROBLEM [J].

BYSZEWSKI, L .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 162 (02) :494-505

[6]

Byszewski L, 1993, ZESZYTY NAUK POLITEC, V18, P109

[7]

Conti G., 1982, NONLINEAR ANAL, V8, P415

[8]

Conti R., 1967, Boll. Unione Mat. Ital., Ser. 3, V22, P135

[9]

Hale JK., 1969, ORDINARY DIFFERENTIA

[10]

KARTSATOS AG, 1974, PAC J MATH, V53, P425

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