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

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