J4 ›› 2012, Vol. 50 ›› Issue (4): 607-615.

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Existence and Uniqueness of Periodic Solution Problems for a Third Order Functional Differental Equation with Delays

SHEN Qin-rui, ZHOU Zong-fu   

  1. School of Mathematics Science, University of Anhui, Hefei 230039, China
  • Received:2011-09-09 Online:2012-07-01 Published:2012-09-07
  • Contact: ZHOU Zong-fu E-mail:zhouzf12@126.com

Abstract:

A type of third order functional differential equation with change delaysx(t)+∑2i=1[aix(i)(t)+bix(i)(t-τi(t))\]+cx(t)+g1(x(t))+g2(x(t-τ3(t)))=e(t)was considered by means of the theory of coincide degree. The sufficient condition for the existence of unique Tperiodic solution was obtained. The conclusion is relevant to three delays.

Key words: three order functional differential equation with delays, periodic solution, coincidence degree

CLC Number: 

  • O175.6