Triple Positive Solutions for nth-Order Impulsive Differential Equations with Integral Boundary Conditions and p-Laplacian |
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Authors: | Peiluan Li Yusen Wu |
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Institution: | 1. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471003, Henan, People’s Republic of China
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Abstract: | 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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