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Existence and Uniqueness of Periodic Solutions toa Class of Integro-differential EquationsContaining a Convolution Operator

YANG Cheng-rong   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2002-06-17 Revised:1900-01-01 Online:2003-01-26 Published:2003-01-26
  • Contact: YANG Cheng-rong

Abstract: The present paper deals with the existence and the uniqueness of periodic solutions to the following integro-differential equations: u1t-J*u1+u1+f(u1,u 2)=0, u2t-DΔu2+g(u1,u2)=0,where D>0 is constant.

Key words: integro-differential equations, convolution operator, periodic solution, existence and uniqueness

CLC Number: 

  • O175.6