Open Access

Three Positive Periodic Solutions for a Class of Higher-Dimensional Functional Differential Equations with Impulses on Time Scales

Advances in Difference Equations20092009:698463

DOI: 10.1155/2009/698463

Received: 20 October 2009

Accepted: 1 December 2009

Published: 16 December 2009

Abstract

By using a multiple fixed point theorem (Avery-Peterson fixed point theorem) for cones, some criteria are established for the existence of three positive periodic solutions for a class of higher-dimensional functional differential equations with impulses on time scales of the following form: , , , where is a nonsingular matrix with continuous real-valued functions as its elements. Finally, an example is presented to illustrate the feasibility and effectiveness of the results.

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Authors’ Affiliations

(1)
Department of Mathematics, Yunnan University
(2)
Department of Mathematics, Anyang Normal University

Copyright

© Y. Li and M. Hu. 2009

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.