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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Li, P., Wu, Y. Triple Positive Solutions for nth-Order Impulsive Differential Equations with Integral Boundary Conditions and p-Laplacian. Results. Math. 61, 401–419 (2012). https://doi.org/10.1007/s00025-011-0125-x
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DOI: https://doi.org/10.1007/s00025-011-0125-x