J4 ›› 2012, Vol. 50 ›› Issue (01): 27-34.

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Existence of Perodic Solution for a Class of ThirdOrderp-Laplacian Equation with a Deviating Argument

SHEN Qinrui, ZHOU Zongfu   

  1. School of Mathematics Science, University of Anhui, Hefei 230039| China
  • Received:2011-04-15 Online:2012-01-26 Published:2012-03-06
  • Contact: SHEN Qinrui E-mail:qinrui327@163.com

Abstract:

Continuation theorem in coincidence degree theory, a type of third order p-Laplacian equation with a deviating argument
p((x(t)-cx(t-σ))″))′+f1(x(t))x′(t)+f2(x′(t))x″(t)+ρ(t)g(x(t-τ(t)))=e(t) was considered with the sufficient condition for the existance of Tperiodic solution obtained.

Key words: periodic solution, deviating argument, coincidence degree, p-Laplacian equation

CLC Number: 

  • O175.6