Existence of positive solutions of a nonlinear fourth-order boundary value problem

被引：38

作者：

Ma, Ruyun ^{[1
]}

Xu, Ling ^{[1
]}

机构：

[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 05期

关键词：

Krein-Rutman theorem; Fourth-order ordinary differential equations; Elastic beam; Bifurcation; Positive solutions; Eigenvalue; NODAL SOLUTIONS; EQUATIONS;

D O I：

10.1016/j.aml.2010.01.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions of fourth-order boundary value problem u((4))(t) = f(t, u(t), u ''(t)), t is an element of (0, 1), u(0) = u(1) = u ''(0) = u ''(1) = 0. where f : [0, 1] x [0, infinity) x (-infinity, 0] -> [0, infinity) is continuous. The proof of our main result is based upon the Krein-Rutman theorem and the global bifurcation techniques. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：537 / 543

页数：7

共 50 条

[1] Existence and uniqueness of positive solutions for a nonlinear fourth-order boundary value problem
J. Harjani
K. Sadarangani
[J]. Positivity, 2010, 14 : 849 - 858
[2] Existence and uniqueness of positive solutions for a nonlinear fourth-order boundary value problem
Harjani, J.
Sadarangani, K.
[J]. POSITIVITY, 2010, 14 (04) : 849 - 858
[3] Existence of positive solutions of a fourth-order boundary value problem
Ma, RY
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (02) : 1219 - 1231
[4] On the Existence of Positive Solutions for a Fourth-Order Boundary Value Problem
Zou, Yumei
[J]. JOURNAL OF FUNCTION SPACES, 2017, 2017
[5] Existence and Multiplicity of Positive Solutions of a Nonlinear Discrete Fourth-Order Boundary Value Problem
Ma, Ruyun
Lu, Yanqiong
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[6] Existence of Positive Solutions for a Fully Fourth-Order Boundary Value Problem
Li, Yongxiang
Ma, Weifeng
[J]. MATHEMATICS, 2022, 10 (17)
[7] Existence of Positive Solutions for a Fourth-Order Periodic Boundary Value Problem
Li, Yongxiang
[J]. ABSTRACT AND APPLIED ANALYSIS, 2011,
[8] Existence of positive solutions for fourth-order singular nonlinear boundary value problems
Sun, Y
Liu, LS
Cho, YJ
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2005, 14 (3-4): : 463 - 479
[9] Existence of positive solutions for fourth-order boundary value problem with variable parameters
Chai, Guoqing
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (04) : 870 - 880
[10] The existence and the uniqueness of symmetric positive solutions for a fourth-order boundary value problem
Zhai, Chengbo
Song, Ruipeng
Han, Qianqian
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (06) : 2639 - 2647

← 1 2 3 4 5 →