Third order differential equations with integral boundary conditions

被引：24

作者：

Boucherif, Abdelkader ^{[1
]}

Bouguima, Sidi Mohamed ^{[2
]}

Al-Malki, Nawal ^{[3
]}

Benbouziane, Zehour ^{[2
]}

机构：

[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[2] Univ Tlemcen, Dept Math, Tilimsen 13000, Algeria

[3] Coll Girls, Dept Math, Dammam, Saudi Arabia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Third order differential equations; Integral boundary conditions; A priori bound on solutions; Fixed point theorems; EXISTENCE; UNIQUENESS;

D O I：

10.1016/j.na.2009.02.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study nonlinear third order differential equations with integral boundary conditions. We provide sufficient conditions on the nonlinearity and the functions appearing in the boundary conditions that guarantee the existence of at least one solution to our problem. Our technique is based on a priori bounds and fixed point theorems. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：E1736 / E1743

页数：8

共 13 条

[1]

AFTABIZADEH A, 1991, DIFFER INTEGRAL EQU, V4, P189

[2] EXISTENCE AND UNIQUENESS THEOREMS FOR 3-POINT BOUNDARY-VALUE PROBLEMS [J].

AFTABIZADEH, AR ;

GUPTA, CP ;

XU, JM .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (03) :716-726

[3]

BELARBI A, 2005, ELECT J DIFFERENTIAL, P10

[4]

Benbouziane ZN, 2004, DYNAM SYST APPL, V13, P41

[5] Two problems from draining flows involving third-order ordinary differential equations [J].

Bernis, F ;

Peletier, LA .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (02) :515-527

[6] Nonlinear three-point third-order boundary value problems [J].

Boucherif, Abdelkader ;

Ai-Malki, Nawal .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 190 (02) :1168-1177

[7] Second-order boundary value problems with integral boundary conditions [J].

Boucherif, Abdelkader .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (01) :364-371

[8]

BRYKALOV SA, 1993, P GEORGIAN ACAD SCI, V1, P273

[9]

Gray M, 2007, DYNAM SYST APPL, V16, P277

[10] On the existence of periodic solutions for certain differential equations [J].

Mehri, B ;

Niksirat, MA .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 174 (02) :239-249

← 1 2 →