Positive solutions for a second-order p-Laplacian impulsive boundary value problem

Youzheng Ding

doi:10.13025/28851

Positive solutions for a second-order p-Laplacian impulsive boundary value problem

Youzheng Ding

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

In this work, we study the existence and multiplicity of positive solutions for a second-order p-Laplacian boundary value problem involving impulsive effects. We establish our main results via Jensens inequality, the first eigenvalue of a relevant linear operator and the Krasnoselskii-Zabreiko fixed point theorem. Some examples are presented to illustrate the main results.MSC: 34B15, 34B18, 34B37, 45G15, 45M20.

Original language	English (Ireland)
Number of pages	0
Journal	Advances In Difference Equations
DOIs	https://doi.org/10.13025/28851 https://doi.org/10.1186/1687-1847-2012-159
Publication status	Published - 1 Jan 2012

Keywords

eigenvalue
equations
Externally hosted open access publications with University of Galway authors
fixed point theorem
jensen inequality
p-laplacian
positive solution

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10.13025/28851Licence: CC BY-NC-ND
10.1186/1687-1847-2012-159

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abstract = "In this work, we study the existence and multiplicity of positive solutions for a second-order p-Laplacian boundary value problem involving impulsive effects. We establish our main results via Jensens inequality, the first eigenvalue of a relevant linear operator and the Krasnoselskii-Zabreiko fixed point theorem. Some examples are presented to illustrate the main results.MSC: 34B15, 34B18, 34B37, 45G15, 45M20.",

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N2 - In this work, we study the existence and multiplicity of positive solutions for a second-order p-Laplacian boundary value problem involving impulsive effects. We establish our main results via Jensens inequality, the first eigenvalue of a relevant linear operator and the Krasnoselskii-Zabreiko fixed point theorem. Some examples are presented to illustrate the main results.MSC: 34B15, 34B18, 34B37, 45G15, 45M20.

AB - In this work, we study the existence and multiplicity of positive solutions for a second-order p-Laplacian boundary value problem involving impulsive effects. We establish our main results via Jensens inequality, the first eigenvalue of a relevant linear operator and the Krasnoselskii-Zabreiko fixed point theorem. Some examples are presented to illustrate the main results.MSC: 34B15, 34B18, 34B37, 45G15, 45M20.

KW - eigenvalue

KW - equations

KW - Externally hosted open access publications with University of Galway authors

KW - fixed point theorem

KW - jensen inequality

KW - p-laplacian

KW - positive solution

UR - http://hdl.handle.net/10379/11199

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DO - 10.13025/28851

M3 - Article

JO - Advances In Difference Equations

JF - Advances In Difference Equations

ER -

Positive solutions for a second-order p-Laplacian impulsive boundary value problem

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Keywords

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