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Open Access Research Article

Multiple Positive Solutions for Second-Order -Laplacian Dynamic Equations with Integral Boundary Conditions

Yongkun Li* and Tianwei Zhang

Author Affiliations

Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China

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Boundary Value Problems 2011, 2011:867615  doi:10.1155/2011/867615

Published: 6 December 2010

Abstract

We are concerned with the following second-order -Laplacian dynamic equations on time scales , , with integral boundary conditions , . By using Legget-Williams fixed point theorem, some criteria for the existence of at least three positive solutions are established. An example is presented to illustrate the main result.