Double positive solutions of boundary value problems for p-Laplacian impulsive functional dynamic equations on time scales

Authors:
Haibo Chen;Haihua Wang;Qi Zhang;Tiejun Zhou
Affiliations:
Department of Mathematics, Central South University, Changsha, 410075, PR China and Mathematical Institute, University of Oxford, OX1 3LB, UK;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:
2007

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Abstract

This paper is devoted to studying the existence of positive solutions of the boundary value problem for p-Laplacian impulsive functional dynamic equations on time scales. Existence results of at least two positive solutions are established via a fixed point theorem in a cone.