EXISTENCE AND ATTRACTIVITY OF ALMOST PERIODIC SOLUTION FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS AND VARIABLE COEFFICIENTS  

作　　者：Xiang Hongjun Wang Jinhua Chen Anping 

机构地区：[1]Dept. of Math., Xiangnan University, Chenzhou 423000

出　　处：《Annals of Differential Equations》2005年第4期604-615,共12页微分方程年刊（英文版）

基　　金：This work was supported by the Foundation of Hunan Provincial Education Department(04C613, 03C009, 05A057).

摘　　要：In this paper, a class of two-dimensional shunting inhibitory cellular neural networks with distributed delays and variable coefficients system dxij/dt=-αij（t）xij-∑↑ckl∈Nr（i,j）cij^kl（t）fkl（∫0^＋∞pkl（s）xkl（t-s）ds）xij＋Lij（t） is studied. By using the Schauder＇s fixed point theorem and Lyapunov function, we obtain some sufficient conditions about the existence and attractivity of almost periodic solutions to the above system, and all its solutions converge to such almost periodic solution. An example is given to illustrate that the conditions of our results are feasible.In this paper, a class of two-dimensional shunting inhibitory cellular neural networks with distributed delays and variable coefficients system dxij/dt=-αij（t）xij-∑↑ckl∈Nr（i,j）cij^kl（t）fkl（∫0^＋∞pkl（s）xkl（t-s）ds）xij＋Lij（t） is studied. By using the Schauder＇s fixed point theorem and Lyapunov function, we obtain some sufficient conditions about the existence and attractivity of almost periodic solutions to the above system, and all its solutions converge to such almost periodic solution. An example is given to illustrate that the conditions of our results are feasible.

关 键 词：distributed delay shunting inhibitory cellular neural networks almost periodic solution 

分 类 号：O17[理学—数学]