Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (1): 28-35.

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Periodic Solutions for a Kind of Second Order Differential Equation with a Deviating Argument 

  

  1. 1. Department of Applied Mathematics,Beijing Institute of Technology  2. Department of Mathematics and Compute,Anhui Normal University 
  • Received:2005-06-03 Online:2008-03-30 Published:2023-10-12
  • About author:DU Bo(1973-), male, native of Chaohu, Anhui, Ph.D., engages in ordinary differential equations and functional equations.
  • Supported by:
    Supported by the Natural Science Foundation of Anhui Province(050460103); Supported by the Natural Science Foundation by the Bureau of Education of Anhui Province(2005kj031ZD)

Abstract: By using the theory of coincidence degree, we study a kind of periodic solutions to second order differential equation with a deviating argument such as x″(t)+f(x′(t))+ h(x(t))x′(t)+g(x(t-τ(t)))=p(t), some sufficient conditions on the existence of periodic solutions are obtained.

Key words: deviating argument, periodic solution, theory of coincidence degree

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