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The Existence of a Periodic Solution in the Second Order Non-linear Functional Diffrential Equation

LI Peng-cheng   

  1. Guangdong Chenghai TV University, Chenghai 515800, China
  • Received:2002-09-04 Revised:1900-01-01 Online:2003-07-26 Published:2003-07-26
  • Contact: LI Peng-cheng

Abstract: In this paper, the theory of coincidence degree is used to study the existence of a periodic solution for the second order non-linear functional differential equation: x″(t)+f(x(t))x′(t)+g(x(t-τ(t)))=p(t), and two sufficient theorems are obtained for the existence of a periodic solution of T(T>0) of the equation.

Key words: second order, functional differential equation, periodic solution

CLC Number: 

  • O175.14