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

页数：21

共 50 条

[41] Positive solutions to fractional boundary-value problems with p-Laplacian on time scales
Kai Sheng
Wei Zhang
Zhanbing Bai
Boundary Value Problems, 2018
[42] FUZZY SOLUTIONS FOR BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS
Arara, A.
Benchohra, M.
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2006, 75 (01): : 119 - 126
[43] EXISTENCE OF SYMMETRIC POSITIVE SOLUTIONS FOR LIDSTONE TYPE INTEGRAL BOUNDARY VALUE PROBLEMS
Sreedhar, N.
Prasad, K. R.
Balakrishna, S.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2018, 8 (1A): : 295 - 305
[44] Positive Solutions for Third-Order Boundary-Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives
Guo, Yanping
Yang, Fei
JOURNAL OF APPLIED MATHEMATICS, 2013,
[45] TRIPLE SYMMETRIC POSITIVE SOLUTIONS TO NONLINEAR BVP WITH INTEGRAL BOUNDARY VALUE CONDITIONS
Zhen Liu
Annals of Applied Mathematics, 2012, (01) : 58 - 64
[46] EXISTENCE OF POSITIVE PSEUDO-SYMMETRIC SOLUTIONS FOR ONE-DIMENSIONAL p-LAPLACIAN BOUNDARY-VALUE PROBLEMS
Yang, Yitao
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
[47] MULTIPLE SYMMETRIC POSITIVE SOLUTIONS TO FOUR-POINT BOUNDARY-VALUE PROBLEMS OF DIFFERENTIAL SYSTEMS WITH P-LAPLACIAN
Feng, Hanying
Bai, Donglong
Feng, Meiqiang
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[48] EXISTENCE OF POSITIVE SOLUTIONS OF A NONLINEAR SECOND-ORDER BOUNDARY-VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS
Galvis, Juan
Rojas, Edixon M.
Sinitsyn, Alexander V.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[49] Positive Solutions for Integral Boundary Value Problem with φ-Laplacian Operator
Ding, Yonghong
BOUNDARY VALUE PROBLEMS, 2011,
[50] Positive Solutions for Integral Boundary Value Problem with ϕ-Laplacian Operator
Yonghong Ding
Boundary Value Problems, 2011

← 1 2 3 4 5 →