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Positive solutions to superlinear attractive singular impulsive differential equation

Author

Listed:
  • Li, Qiuyue
  • Zhou, Yaoming
  • Cong, Fuzhong
  • Liu, Hu

Abstract

In this paper, we study positive periodic solutions to impulsive differential equation with the attractive singular perturbation. The existence theorem is proved using the Leray Schauder alternative principle and the fixed point theorem. The perturbation term in the equation we are mainly interested in is that it has not only an attractive singularity but also the superlinearity.

Suggested Citation

  • Li, Qiuyue & Zhou, Yaoming & Cong, Fuzhong & Liu, Hu, 2018. "Positive solutions to superlinear attractive singular impulsive differential equation," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 822-827.
  • Handle: RePEc:eee:apmaco:v:338:y:2018:i:c:p:822-827
    DOI: 10.1016/j.amc.2018.07.003
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    References listed on IDEAS

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    1. Yang, Dan & Wang, JinRong & O’Regan, D., 2018. "A class of nonlinear non-instantaneous impulsive differential equations involving parameters and fractional order," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 654-671.
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