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）...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.展开更多
基金This work was supported by the Foundation of Hunan Provincial Education Department(04C613, 03C009, 05A057).
文摘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.
