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  • Research Article
  • 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

https://doi.org/10.1155/2009/698463

  • Received: 20 October 2009
  • Accepted: 1 December 2009
  • Published:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Periodic Solution

Publisher note

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Authors’ Affiliations

(1)
Department of Mathematics, Yunnan University, Kunming, Yunnan, 650091, China
(2)
Department of Mathematics, Anyang Normal University, Anyang, Henan, 455000, China

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