SYMMETRIC POSITIVE SOLUTIONS FOR φ-LAPLACIAN BOUNDARY-VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS

被引：0

作者：

Yang, Wengui ^{[1
]}

机构：

[1] Sanmenxia Polytech, Minist Publ Educ, Sanmenxia 472000, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Boundary value problems; integral boundary conditions; symmetric positive solutions; phi-Laplacian operator; fixed point theorem; SUFFICIENT CONDITIONS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the existence, multiplicity, and nonexistence of symmetric positive solutions for a class of four-order integral boundary value problems with phi-Laplacian operator. The arguments mainly rely on the Guo-Krasnosel'skii fixed point theorem of cone expansion and compression of norm type and Leggett-Williams fixed point theorem. Finally, some examples are presented to illustrate the main results.

引用

下载

页数：21

共 50 条

[21] Existence and multiplicity of symmetric positive solutions for nonlinear boundary-value problems with p-Laplacian operator
Senlik, Tugba
Hamal, Nuket Aykut
BOUNDARY VALUE PROBLEMS, 2014,
[22] Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces
Feng, Meiqiang
Ji, Dehong
Ge, Weigao
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 222 (02) : 351 - 363
[23] MULTIPLE POSITIVE SOLUTIONS FOR NONLINEAR BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS
Belarbi, Abdelkader
Benchohra, Mouffak
Ouahab, Abdelghani
ARCHIVUM MATHEMATICUM, 2008, 44 (01): : 1 - 7
[24] MULTIPLE POSITIVE SOLUTIONS OF SPHERICALLY SYMMETRIC NONLINEAR BOUNDARY-VALUE PROBLEMS
HACKER, F
SIMPSON, RB
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 43 (02) : 357 - 372
[25] MULTIPLE POSITIVE SOLUTIONS FOR FRACTIONAL BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS
Tabti, Hamza
Belmekki, Mohammed
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2024, 91 : 161 - 173
[26] MULTIPLE SOLUTIONS FOR A CLASS OF BOUNDARY-VALUE PROBLEMS WITH DEVIATING ARGUMENTS AND INTEGRAL BOUNDARY CONDITIONS
Jankowski, Tadeusz
DYNAMIC SYSTEMS AND APPLICATIONS, 2010, 19 (01): : 179 - 188
[27] POSITIVE SOLUTIONS TO BOUNDARY-VALUE PROBLEMS OF P-LAPLACIAN FRACTIONAL DIFFERENTIAL EQUATIONS WITH A PARAMETER IN THE BOUNDARY
Han, Zhenlai
Lu, Hongling
Sun, Shurong
Yang, Dianwu
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[28] Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary Conditions
Karaca, Ilkay Yaslan
Fen, Fatma Tokmak
MATHEMATICAL MODELLING AND ANALYSIS, 2015, 20 (02) : 188 - 204
[29] Positive Solutions for Boundary Value Problems of Fractional Differential Equation with Integral Boundary Conditions
Sun, Qiao
Ji, Hongwei
Cui, Yujun
JOURNAL OF FUNCTION SPACES, 2018, 2018
[30] Positive solutions for fractional boundary value problems with integral boundary conditions and parameter dependence
Hafida Abbas
Mohammed Belmekki
Alberto Cabada
Computational and Applied Mathematics, 2021, 40

← 1 2 3 4 5 →