Existence of solutions for fourth-order boundary value problem with parameter

被引：0

作者：

Yang Yang

Ji-hui Zhang

机构：

[1] Nanjing Normal University,Institute of Mathematics, School of Mathematical Science

[2] Jiangnan University,School of Science

来源：

Applied Mathematics and Mechanics | 2010年 / 31卷

关键词：

boundary value problem; critical point; invariant sets; retracting property; O29; 34B15; 46N20; 49J35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is a sequel to a previous paper (Yang, Y. and Zhang, J. H. Existence of solutions for some fourth-order boundary value problems with parameters. Nonlinear Anal.69(2), 1364–1375 (2008)) in which the nontrivial solutions to the fourth-order boundary value problems were studied. In the current work with the same conditions near infinity but different near zero, the positive, negative, and sign-changing solutions are obtained by the critical point theory, retracting property, and invariant sets.

引用

下载

页码：377 / 384

页数：7

共 50 条

[41] Existence of positive solutions for summation boundary value problem for a fourth-order difference equations
Sitthiwirattham, Thanin
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (05) : 969 - 983
[42] Existence and Multiplicity of Positive Solutions of a Nonlinear Discrete Fourth-Order Boundary Value Problem
Ma, Ruyun
Lu, Yanqiong
ABSTRACT AND APPLIED ANALYSIS, 2012,
[43] Existence of positive solutions for a fourth-order three-point boundary value problem
Guezane-Lakoud A.
Zenkoufi L.
Journal of Applied Mathematics and Computing, 2016, 50 (1-2) : 139 - 155
[44] Existence of Three Solutions to the Discrete Fourth-order Boundary Value Problem with Four Parameters
Ousbika, Mohamed
El Allali, Zakaria
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2020, 38 (02): : 177 - 189
[45] Existence of three solutions for a fourth-order two-point boundary value problem
Liu, Jinsheng
Zou, Jietao
SNPD 2007: EIGHTH ACIS INTERNATIONAL CONFERENCE ON SOFTWARE ENGINEERING, ARTIFICIAL INTELLIGENCE, NETWORKING, AND PARALLEL/DISTRIBUTED COMPUTING, VOL 1, PROCEEDINGS, 2007, : 158 - +
[46] Existence and uniqueness of solutions of a fourth-order boundary value problem with non-homogeneous boundary conditions
Kaufmann, Eric R.
Whaley, Zach
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023, (59) : 1 - 11
[47] POSITIVE SOLUTIONS TO FOURTH-ORDER NEUMANN BOUNDARY VALUE PROBLEM
Zhilong Li (School of Informational Management
Annals of Applied Mathematics, 2010, (02) : 190 - 194
[48] THREE SOLUTIONS FOR A FOURTH-ORDER BOUNDARY-VALUE PROBLEM
Afrouzi, Ghasem A.
Shokooh, Saeid
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[49] On Solutions of Boundary Value Problem for Fourth-Order Beam Equations
Bougoffa, Lazhar
Rach, Randolph
Wazwaz, Abdul-Majid
MATHEMATICAL MODELLING AND ANALYSIS, 2016, 21 (03) : 304 - 318
[50] On positive solutions for fourth-order boundary value problem with impulse
Karaca, Ilkay Yaslan
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 225 (02) : 356 - 364

← 1 2 3 4 5 →