Multiplicity results for some second-order four-point boundary-value problems

被引：33

作者：

Bai, ZB ^{[1
]}

Ge, WG

Wang, YF

机构：

[1] Beijing Inst Technol, Dept Math Appl, Beijing 100081, Peoples R China

[2] Univ Petr, Dept Appl Math, Dongying 257061, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 60卷 / 03期

基金：

中国国家自然科学基金;

关键词：

fixed point theorem; positive solution; multiplicity; boundary value problem;

D O I：

10.1016/j.na.2004.08.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using a fixed point theorem of functional type in a cone, some new results for the multiplicity of positive solutions of second-order four-point boundary-value problems are obtained. The emphasis is put on the nonlinear term involved with the first-order derivative. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：491 / 500

页数：10

共 50 条

[1] Positive solutions for some second-order four-point boundary value problems
Bai, Zhanbing
Du, Zengji
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (01) : 34 - 50
[2] A quasilinearization method for second-order four-point boundary value problems
Pei, Minghe
Chang, Sung Kag
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (01) : 54 - 66
[3] POSITIVE SOLUTIONS FOR SECOND-ORDER FOUR-POINT BOUNDARY VALUE PROBLEMS AT RESONANCE
Shen, Chunfang
Yang, Liu
Liang, Yan
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2011, 38 (01) : 1 - 15
[4] Positive solutions for second-order four-point boundary value problems with alternating coefficient
Bai, Chuanzhi
Xie, Dapeng
Liu, Yang
Wang, Chunli
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (05) : 2014 - 2023
[5] Existence and approximation of solutions for nonlinear second-order four-point boundary value problems
Wang, Libo
Pei, Minghe
Ge, Weigao
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (9-10) : 1348 - 1359
[6] EXISTENCE FOR SECOND-ORDER FOUR-POINT BOUNDARY VALUE PROBLEM AT RESONANCE
Pang Huihui Ge Weigao (Dtpt. of Math.
[J]. Annals of Applied Mathematics, 2006, (03) : 343 - 346
[7] ANOTHER UNDERSTANDING OF FOURTH-ORDER FOUR-POINT BOUNDARY-VALUE PROBLEMS
Kelevedjiev, Petio S.
Palamides, Panos K.
Popivanov, Nedyu I.
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
[8] BOUNDARY-VALUE PROBLEMS FOR A SECOND-ORDER DIFFERENTIAL EQUATION WITH A TURNING POINT
ZAUDERER, E
[J]. STUDIES IN APPLIED MATHEMATICS, 1972, 51 (04) : 411 - 413
[9] Multiple positive solutions for second-order four-point boundary value problem
Pang, Huihui
Lian, Hairong
Ge, Weigao
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (9-10) : 1267 - 1275
[10] ON THE EIGENVALUES OF SECOND-ORDER BOUNDARY-VALUE PROBLEMS
Ugurlu, Ekin
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (05): : 1897 - 1911

← 1 2 3 4 5 →