Existence and attractivity of periodic solutions to Cohen-Grossberg neural network with distributed delays.
Existence and exponential stability for anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays.
Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays
Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic solutions are obtained by using the continuation theorem based on the coincidence degree and the differential inequality technique. The sufficient conditions are easy to use in pattern recognition and automatic control. Finally, an example is given to show the feasibility and effectiveness of our methods.
Existence and exponential stability of periodic solution for a class of generalized neural networks with arbitrary delays.
Existence and exponential stability of periodic solution of high-order Hopfield neural network with delays on time scales.
Existence and global asymptotical stability of periodic solution for the -periodic logistic system with time-varying generating operators and -periodic impulsive perturbations on Banach spaces.
Existence and global attractivity of periodic solutions in a higher order difference equation
Consider the following higher order difference equation where and are continuous functions in and periodic functions in with period , and is a nonnegative integer. We show the existence of a periodic solution under certain conditions, and then establish a sufficient condition for to be a global attractor of all nonnegative solutions of the equation. Applications to Riccati difference equation and some other difference equations derived from mathematical biology are also given.
Existence and global attractivity of periodic solutions in -species food-chain system with time delays.
Existence and global attractivity of positive almost periodic solutions for a kind of fishing model with pure-delay
By using some analytical techniques, modified inequalities and Mawhin's continuation theorem of coincidence degree theory, some sufficient conditions for the existence of at least one positive almost periodic solution of a kind of fishing model with delay are obtained. Further, the global attractivity of the positive almost periodic solution of this model is also considered. Finally, three examples are given to illustrate the main results of this paper.
Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses
In this paper, a class of non-autonomous delayed competitive systems with the effect of toxic substances and impulses is considered. By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient conditions that guarantees the existence of at least one positive periodic solution, and by constructing a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are established.
Existence and global attractivity positive periodic solutions for a discrete model.
Existence and global exponential stability of almost periodic solutions for SICNNs with nonlinear behaved functions and mixed delays.
Existence and global exponential stability of equilibrium solution to reaction-diffusion recurrent neural networks on time scales.
Existence and global exponential stability of periodic solutions for general neural networks with time-varying delays.
Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks.
Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays.
Existence and global stability of positive periodic solutions of a discrete delay competition system.
Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays.
Existence and stability of antiperiodic solution for a class of generalized neural networks with impulses and arbitrary delays on time scales.
Existence and stability of periodic solutions for a class of generalized nonautonomous neural networks with distributed delays.