Positive solutions for a second-order p-laplacian impulsive boundary value problem
Ding, Youzheng ; O’Regan, Donal
Ding, Youzheng
O’Regan, Donal
Publication Date
2012-01-01
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Article
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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 ,
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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Springer Nature
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Attribution-NonCommercial-NoDerivs 3.0 Ireland