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Positive Periodic Solutions in Shifts for a Class of Higher-Dimensional Functional Dynamic Equations with Impulses on Time Scales

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  • Meng Hu
  • Lili Wang
  • Zhigang Wang

Abstract

Let be a periodic time scale in shifts with period and is nonnegative and fixed. By using a multiple fixed point theorem in cones, some criteria are established for the existence and multiplicity of positive solutions in shifts for a class of higher-dimensional functional dynamic equations with impulses on time scales of the following form: where is a nonsingular matrix with continuous real-valued functions as its elements. Finally, numerical examples are presented to illustrate the feasibility and effectiveness of the results.

Suggested Citation

  • Meng Hu & Lili Wang & Zhigang Wang, 2014. "Positive Periodic Solutions in Shifts for a Class of Higher-Dimensional Functional Dynamic Equations with Impulses on Time Scales," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, June.
    • Handle: RePEc:hin:jnlaaa:509052
    DOI: 10.1155/2014/509052
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