EXISTENCE AND NON-EXISTENCE OF SIGN-CHANGING SOLUTIONS FOR A CLASS OF TWO-POINT BOUNDARY VALUE PROBLEMS INVOLVING ONE-DIMENSIONAL p -LAPLACIAN

被引：0

作者：

Naito, Yuki ^{[1
]}

机构：

[1] Ehime Univ, Dept Math, Malsuyama 7908577, Japan

来源：

MATHEMATICA BOHEMICA | 2011年 / 136卷 / 02期

关键词：

boundary value problem; half-linear differential equation; Sturm comparison theorem; half-linear Prufer transformation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the boundary value problem involving the one dimensional p Laplacian, and establish the precise intervals of the parameter for the existence and nonexistence of solutions with prescribed numbers of zeros. Our argument is based on the shooting method together with the qualitative theory for half-linear differential equations.

引用

页码：175 / 184

页数：10

共 50 条

[11] Existence and non-existence results for two-point boundary value problems of higher order
Minhós, FM
Santos, AI
EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS, 2005, : 249 - 251
[12] EXISTENCE OF SIGN-CHANGING SOLUTIONS FOR THE NONLINEAR p-LAPLACIAN BOUNDARY VALUE PROBLEM
Lian, Wei-Cheng
Wang, Wei-Chuan
Cheng, Yan-Hsiou
ANALYSIS AND APPLICATIONS, 2013, 11 (02)
[13] Existence, multiplicity and non-existence of positive solutions for two-point boundary-value problems with strong singularity
Kim, Chan-Gyun
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2010, 140 : 1187 - 1196
[14] Existence and multiplicity of positive solutions for one-dimensional p-Laplacian problem with sign-changing weight
Miao, Liangying
Xu, Man
He, Zhiqian
ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (06): : 3086 - 3096
[15] The exact multiplicity of positive solutions for a class of two-point boundary-value problems with the one-dimensional p-Laplacian
Sim, Inbo
Tanaka, Satoshi
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2014, 144 (01) : 187 - 203
[16] EXISTENCE RESULTS FOR A CLASS OF P-LAPLACIAN PROBLEMS WITH SIGN-CHANGING WEIGHT
Chhetri, Maya
Oruganti, Shobha
Shivaji, R.
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2005, 18 (09) : 991 - 996
[17] A note on the existence of positive solutions of one-dimensional p-Laplacian boundary value problems
Liu, Yuji
APPLICATIONS OF MATHEMATICS, 2010, 55 (03) : 241 - 264
[18] Existence of Positive Solutions for Higher Order (p,q)-Laplacian Two-Point Boundary Value Problems
Kapula, Rajendra Prasad
Murali, Penugurthi
Rajendrakumar, Kona
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 2013
[19] A note on the existence of positive solutions of one-dimensional p-Laplacian boundary value problems
Yuji Liu
Applications of Mathematics, 2010, 55 : 241 - 264
[20] NON-EXISTENCE OF SOLUTIONS FOR TWO-POINT FRACTIONAL AND THIRD-ORDER BOUNDARY-VALUE PROBLEMS
Karakostas, George L.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,

← 1 2 3 4 5 →