J4 ›› 2009, Vol. 47 ›› Issue (4): 745-748.

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Periodic Solutions for (2k)thOrder Volterra DelayFunctional Equations

CHANG Jing1,2, GAO Yixian1, HAN Yue cai1   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. Teaching and Research Section of Mathematics, Aviation University of Air Force, Changchun 130022, China
  • Received:2009-01-22 Online:2009-07-26 Published:2009-08-24
  • Contact: HAN Yue cai E-mail:hanyc@jlu.edu.cn.

Abstract:

The authors investigated the periodic solution of (2k)thorder volterra delay functional equations in the space L2(0,2π). Some results on existence and uniqueness of periodic solution were obtained via Schauder fixedpoint theorem and Fourier method.

Key words: 2k- thorder volterra delay functional equation, periodic solution, Schauder fixed point theorem

CLC Number: 

  • O175