Journal of Jilin University Science Edition

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Periodic Solutions for FourOrder p-Laplacian Neutral FunctionalDifferential Equation with Deviating Argument

WANG Hailian1,2, WANG Lianglong2   

  1. 1. Department of Mathematics, Chaohu University, Hefei 238000, China;2. School of Mathematical Sciences, Anhui University, Hefei 230601, China
  • Received:2015-06-16 Online:2016-05-26 Published:2016-05-20
  • Contact: WANG Lianglong E-mail:wangll64@163.com

Abstract:

Using Mawhin’s coincidence degree theorem, we studied the existence of periodic solutions for a class of fourorder p-Laplacian neutral functional differential equation with deviating argument, and the sufficient condition for existence of at least one Tperiodic solution for the equation was given.

Key words:  periodic solution, Mawhin’s coincidence degree, deviating argument, p-Laplacian equation

CLC Number: 

  • O175.14