Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional p-Laplacian

Title:

Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional p-Laplacian

Creator:

Naito, Yūki

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c009ec25-8b59-447c-af2c-dfd14aa2bc08
uuid:c009ec25-8b59-447c-af2c-dfd14aa2bc08
doi:10.21136/MB.2011.141580

Subject:

boundary value problem, half-linear differential equation, Sturm comparison theorem, and half-linear Prüfer transformation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We consider the boundary value problem involving the one dimensional pLaplacian, 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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

175-184

Source:

Mathematica bohemica | 2011 Volume:136 | Number:2

Harvested from:

CDK

Metadata only:

false