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Multiple positive solutions for first-order impulsive integral boundary value problems on time scales

Yongkun Li* and Jiangye Shu

Author Affiliations

Department of Mathematics, Yunnan University Kunming, Yunnan 650091, People's Republic of China

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Boundary Value Problems 2011, 2011:12  doi:10.1186/1687-2770-2011-12

Published: 15 August 2011


In this paper, we first present a class of first-order nonlinear impulsive integral boundary value problems on time scales. Then, using the well-known Guo-Krasnoselskii fixed point theorem and Legget-Williams fixed point theorem, some criteria for the existence of at least one, two, and three positive solutions are established for the problem under consideration, respectively. Finally, examples are presented to illustrate the main results.

MSC: 34B10; 34B37; 34N05.

integral boundary value problem; fixed point; multiple solutions; time scale