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

Ding, Youzheng; O’Regan, Donal

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2012-01-01

Author

Ding, Youzheng

O’Regan, Donal

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Ding, Youzheng; O’Regan, Donal (2012). Positive solutions for a second-order p-laplacian impulsive boundary value problem. Advances in Difference Equations ,

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https://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/1687-1847-2012-159?site=advancesindifferenceequations.springeropen.com

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 Jensen's 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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http://hdl.handle.net/10379/11199

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