一类含卷积算子的积微分方程组周期解的存在惟一性

Existence and Uniqueness of Periodic Solutions to a Class of Integro-differential Equations Containing a Convolution Operator

研究积微分方程组u1t-J*u1+u1+f(u1,u2)=0,u2t-DΔu2+g(u1,u2)=0周期解的存在惟一性,其中D>0是常数.

The present paper deals with the existence and the uniqueness of periodic solutions to the following integrodifferential equations:u1t-J*u1+u1+f(u1,u2)=0,u2t-DΔu2+g(u1,u2)=0,where D>0 is constant.