Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions

被引：38

作者：

Jankowski, Tadeusz ^{[1
]}

机构：

[1] Gdansk Univ Technol, Dept Differential Equat & Appl Math, PL-80233 Gdansk, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 05期

关键词：

Triple positive solutions; Integral boundary conditions; Advanced and delayed arguments; Fixed point theorem; Existence; DIMENSIONAL P-LAPLACIAN; BANACH-SPACES; DELAY; EXISTENCE;

D O I：

10.1016/j.na.2010.04.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate integral boundary value problems for fourth order differential equations with deviating arguments. We discuss our problem both for advanced or delayed arguments. We establish sufficient conditions under which such problems have positive solutions. To obtain the existence of multiple (at least three) positive solutions, we use a fixed point theorem due to A very and Peterson. An example is also included to illustrate that corresponding assumptions are satisfied. The results are new. (C)2010 Elsevier Ltd. All rights reserved.

引用

页码：1289 / 1299

页数：11

共 19 条

[1] Three positive fixed points of nonlinear ordered Banach spaces [J].

Avery, RI ;

Peterson, AC .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (3-5) :313-322

[2] Triple positive solutions of three-point boundary value problems for fourth-order differential equations [J].

Bai, Chuanzhi .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (05) :1364-1371

[3] Positive solutions of second-order two-delay differential systems with twin-parameter [J].

Bai, DY ;

Xu, YT .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (04) :601-617

[4] Existence of positive solutions for boundary-value problems of second-order delay differential equations [J].

Bai, DY ;

Xu, YT .

APPLIED MATHEMATICS LETTERS, 2005, 18 (06) :621-630

[5] On positive solutions of some nonlinear fourth-order beam equations [J].

Bai, ZB ;

Wang, HY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 270 (02) :357-368

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

Boucherif, Abdelkader .

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

[7] Positive solutions to a type of multi-point boundary value problem with delay and one-dimensional p-Laplacian [J].

Du, Bo ;

Hu, Xueping ;

Ge, Weigao .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (02) :501-510

[8] Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces [J].

Feng, Meiqiang ;

Ji, Dehong ;

Ge, Weigao .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 222 (02) :351-363

[9] A necessary and sufficient condition for the existence of positive solutions of fourth-order singular boundary value problems [J].

Hao, ZC ;

Liu, LS ;

Debnath, L .

APPLIED MATHEMATICS LETTERS, 2003, 16 (03) :279-285

[10]

JANKOWSKI T, 2010, J COMPUT MATH, V87, P215

← 1 2 →