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

Advances in Difference Equations

Youzheng Ding¹  Donal ORegan² 

[1] Department of Mathematics, Shandong Jianzhu University, Jinan, China;School of Mathematics, Shandong University, Jinan, China

关键词: impulsive boundary value problem;    p-Laplacian;    fixed point theorem;    positive solution;    eigenvalue;    Jensen inequality;   

DOI  :  10.1186/1687-1847-2012-159

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY