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Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters

Author

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  • Zhenguo Luo
  • Liping Luo
  • Yunhui Zeng

Abstract

We apply the Krasnoselskii’s fixed point theorem to study the existence of multiple positive periodic solutions for a class of impulsive functional differential equations with infinite delay and two parameters. In particular, the presented criteria improve and generalize some related results in the literature. As an application, we study some special cases of systems, which have been studied extensively in the literature.

Suggested Citation

  • Zhenguo Luo & Liping Luo & Yunhui Zeng, 2014. "Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:751612
    DOI: 10.1155/2014/751612
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    References listed on IDEAS

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    1. Klaus Deimling, 1985. "Nonlinear Functional Analysis," Springer Books, Springer, number 978-3-662-00547-7, March.
    2. Zhenguo Luo & Liping Luo, 2013. "Global Positive Periodic Solutions of Generalized -Species Competition Systems with Multiple Delays and Impulses," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, August.
    3. Zhenguo Luo & Liping Luo, 2013. "Global Positive Periodic Solutions of Generalized n‐Species Competition Systems with Multiple Delays and Impulses," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Zhenguo Luo, 2014. "Multiple Positive Periodic Solutions for Functional Differential Equations with Impulses and a Parameter," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Zhenguo Luo & Liping Luo & Liu Yang & Yunhui Zeng, 2014. "Global Positive Periodic Solutions for Periodic Two‐Species Competitive Systems with Multiple Delays and Impulses," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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