Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous Variables

Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous Variables

Asymptotic behavior of impulsive non-autonomous delay difference equations with continuous variables

* Correspondence: danhuahe@zisu. edu.cn Department of Mathematics, Zhejiang International Studies University, Hangzhou, 310012, P. R. China Full list of author information is available at the end of the article Abstract In this article, a class of impulsive non-autonomous delay difference equations with continuous variables is considered. By establishing a delay difference inequality with impul...

Asymptotic Behavior of Solutions of a Scalar Delay Difference Equations with Continuous Time

Huang, Yu and Dai in [4], [5] presented conditions when every solution of discrete difference equation xn−xn−1 = −F (xn)+F (xn−k) is bounded and tends to a constant, where k ∈ N, F is a continuous, increasing real function. Similar problems for differential equation x′(t) = β(t)[x(t)−x(t− τ(t))], where τ and β are positive continuous real functions, was investigated in papers by Atkinson and Ha...

Semilinear functional difference equations with infinite delay

We obtain boundness and asymptotic behavior of solutions for semilinear functional difference equations with infinite delay. Applications on Volterra difference equations with infinite delay are shown.

Stability results for impulsive functional differential equations with infinite delay

For a family of differential equations with infinitive delay and impulses, we establish conditions for the existence of global solutions and for the global asymptotic and global exponential stabilities of an equilibrium point. The results are used to give stability criteria for a very broad family of impulsive neural network models with both unbounded distributed delays and bounded time-varying...