Anti-periodic solutions to impulsive shunting inhibitory cellular neural networks with distributed delays on time scales

By using the method of coincidence degree and constructing suitable Lyapunov functional, several sufficient conditions are established for the existence and global exponential stability of anti-periodic solutions to impulsive shunting inhibitory cellular neural networks with distributed delays on time scale TT. Our results are new even if the time scale T=RT=R or ZZ. An example is given to illustrate our feasible results.

Research highlights► We study the existence of ant-periodic solutions to impulsive neural networks on time scales. ► We unify the discrete and continuous time shunting inhibitory neural networks under one frame work. ► However, most of the known work deals with continuous time neural networks without impulse. ► Our results are new even if the time scale T=RT=R or ZZ.