JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (06): 69-74.doi: 10.6040/j.issn.1671-9352.0.2014.585

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Existence of positive periodic solutions of impulsive functional differential equations with two parameters

XU Man   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2014-12-26 Revised:2015-05-20 Online:2015-06-20 Published:2015-07-31

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Abstract: We study the existence of positive periodic solutions of impulsive functional differential equations with two parameters u'(t)=h(t,u(t))-λf(t,u(t-τ(t))), t∈R, t≠tk, u(t+k)-u(tk)=μIk(tk,u(tk-τ(tk))), where λ>0, μ≥0 are parameters and show the existence results of positive periodic solutions in more general conditions. The proof of the main results is based on the fixed point index theory.

Key words: Impulsive functional differential equations, two parameters, positive periodic solutions, fixed point index

CLC Number: 

  • O175.8
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