First-order differential inclusions with nonlocal initial conditions

被引：23

作者：

Boucherif, A ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia

来源：

APPLIED MATHEMATICS LETTERS | 2002年 / 15卷 / 04期

关键词：

differential inclusion; nonlocal initial condition; fixed-point theorem; truncation function;

D O I：

10.1016/S0893-9659(01)00151-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate initial value problems for first-order differential inclusions with nonlocal conditions. We provide conditions on the right-hand side that are sufficient for obtaining a priori bounds on solutions. We then rely on a theorem of Bohnenblust and Karlin to prove existence of at least one solution. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：409 / 414

页数：6

共 11 条

[1]

[Anonymous], DISS MATH

[2]

Benchohra M., 2000, DYNAM SYST APPL, V9, P559

[3]

Bohnenblust H. F., 1950, CONTRIBUTIONS THEORY, VI, P155

[4]

BOUCHERIF A, 1994, P DYN SYST APPL 1, V1, P25

[5]

BREZIS H, 1983, ANAL FONCTIONNELLE A

[6] 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

[7]

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

[8] Boundary controllability of differential equations with nonlocal condition [J].

Han, HK ;

Park, JY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 230 (01) :242-250

[9] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO SEMILINEAR NONLOCAL PARABOLIC EQUATIONS [J].

JACKSON, D .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 172 (01) :256-265

[10]

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

← 1 2 →