Convergence of Cohen-Grossberg neural networks with delays and time-varying coefficients.
Convergence tests for one scalar differential equation with vanishing delay
Convergence to equilibria in a differential equation with small delay
Convergence to equilibria in a differential equation with small delay
Consider the delay differential equation where is a constant and is Lipschitzian. It is shown that if is small, then the solutions of (1) have the same convergence properties as the solutions of the ordinary differential equation obtained from (1) by ignoring the delay.
Decaying trajectories in sublinear retarded equations of arbitrary order
Delay-dependent stability conditions for fundamental characteristic functions
This paper is devoted to the investigation on the stability for two characteristic functions and , where and are real numbers and . The obtained theorems describe the explicit stability dependence on the changing delay . Our results are applied to some special cases of a linear differential system with delay in the diagonal terms and delay-dependent stability conditions are obtained.
Dissipativity of neural networks with continuously distributed delays.
Distributional and entire solutions of linear functional differential equations.
Distributional and entire solutions of ordinary differential and functional differential equations.
Dynamical analysis of a delayed predator-prey system with birth pulse and impulsive harvesting at different moments.
Existence and asymptotic behavior of positive solutions of functional differential equations of delayed type.
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 of asymptotic solutions of second order neutral differential equation with multiple delays.
Existence, uniqueness and iterative construction of motions of charged particles with retarded interactions
Exponential convergence of shunting inhibitory cellular neural networks with continuously distributed delays
We study delay shunting inhibitory cellular neural networks without almost periodic coefficients. Some sufficient conditions are established to ensure that all solutions of the networks converge exponentially to an almost periodic function. This complements previously known results.
Exponential convergence of solutions of SICNNs with mixed delays.
Exponential stability in a scalar functional differential equation.
Fixed points and differential equations with asymptotically constant or periodic solutions.
Generalization of the Kermack-McKendrick SIR Model to a Patchy Environment for a Disease with Latency
In this paper, with the assumptions that an infectious disease has a fixed latent period in a population and the latent individuals of the population may disperse, we reformulate an SIR model for the population living in two patches (cities, towns, or countries etc.), which is a generalization of the classic Kermack-McKendrick SIR model. The model is given by a system of delay differential equations with a fixed delay accounting for the latency and non-local terms caused by the mobility of the...
Global behaviors of a chemostat model with delayed nutrient recycling and periodically pulsed input.