Triple Positive Solutions for nth-Order Impulsive Differential Equations with Integral Boundary Conditions and p-Laplacian

被引:0
|
作者
Peiluan Li
Yusen Wu
机构
[1] Henan University of Science and Technology,School of Mathematics and Statistics
来源
Results in Mathematics | 2012年 / 61卷
关键词
Primary 34B15; Secondary 39A10; Boundary value problem; fixed point theorem; integral boundary conditions; positive solutions;
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摘要
In this paper, we study a class of nth-order boundary value problems for impulsive differential equations with integral boundary conditions and p-Laplacian. The Leray–Schauder fixed point theorem is used to investigate the existence of at least one positive solution. We also consider the existence of at least three positive solutions by using a fixed-point theorem in a cone due to Avery-Peterson. As an application, we give an example to demonstrate our results.
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页码:401 / 419
页数:18
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