Multiple positive solutions of n-point boundary value problems for p-Laplacian impulsive dynamic equations on time scales

Authors:
Peiluan Li;Haibo Chen;Yusen Wu
Affiliations:
Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, PR China and Department of Mathematics, Central South University, Changsha 410075, PR China;Department of Mathematics, Central South University, Changsha 410075, PR China;Department of Mathematics, Central South University, Changsha 410075, PR China
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

In this paper, we study the n-point boundary value problems for p-Laplacian impulsive dynamic equations on time scales. By using the Leray-Schauder fixed point theorem and the nonlinear alternative of Leray-Schauder type, we get the existence of at least one positive solution. We also consider the existence of at least three positive solutions by using a new fixed point theorem. As an application, we give an example to demonstrate our results.