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Positive Periodic Solution for the Generalized Neutral Differential Equation with Multiple Delays and Impulse

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  • Zhenguo Luo
  • Liping Luo
  • Yunhui Zeng

Abstract

By using a fixed point theorem of strict-set-contraction, which is different from Gaines and Mawhin's continuation theorem and abstract continuation theory for -set contraction, we established some new criteria for the existence of positive periodic solution of the following generalized neutral delay functional differential equation with impulse: . As applications of our results, we also give some applications to several Lotka-Volterra models and new results are obtained.

Suggested Citation

  • Zhenguo Luo & Liping Luo & Yunhui Zeng, 2014. "Positive Periodic Solution for the Generalized Neutral Differential Equation with Multiple Delays and Impulse," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-12, February.
    • Handle: RePEc:hin:jnljam:592513
    DOI: 10.1155/2014/592513
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