AbstractThis paper discusses some asymptotic properties of the delay difference equation Δy(n)=a(n)y(n)+∑i=1kbi(n)|y(τi(n))|risgny(τi(n)),0<ri≤1. First, we briefly mention some known qualitative properties of this equation. Further, as the main result, we present an asymptotic estimate of its solutions which is derived in the case not considered by the other authors. Applications of this result to particular cases conclude the paper
AbstractConsider the delay difference equation xn+1−xn+pnxτ(n)=0, 0,1,2,…,where τ : N → Z, τ(n) < n ...
We obtain boundedness and asymptotic behavior of solutions for semilinear functional difference equa...
This paper deals with asymptotic properties of a vector difference equation with delayed argument &D...
AbstractThis paper discusses some asymptotic properties of the delay difference equation Δy(n)=a(n)y...
AbstractConsider the linear delay difference equation xn+1 − xn = anxnk, where an′s are real numbers...
AbstractThis paper considers a class of nonlinear difference equations Δ3yn + ƒ(n, yn, yn−r) = 0, n ...
summary:In this paper we investigate the asymptotic properties of all solutions of the delay differe...
Abstract. We give the necessary and sufficient conditions for the asymptotic stability of the linear...
AbstractThe boundedness and asymptotic behavior of all solutions of the neutral delay difference equ...
We consider the second-order nonlinear difference equations of the form ∆(rn−1∆xn−1) + pn f (xn−k) ...
We study a frequently investigated class of linear difference equations Δv(n)=−p(n)v(n−k) with a po...
AbstractThis paper is concerned with the nonstationary linear difference equation yn = δyn−1 + μ(y[n...
AbstractIn this paper we obtain a necessary and sufficient condition for the asymptotic stability of...
We consider semilinear difference-delay equations with continuous time in a Euclidean space. Estimat...
We consider a nonhomogeneous linear delay difference equation with continuous vari-able and establis...
AbstractConsider the delay difference equation xn+1−xn+pnxτ(n)=0, 0,1,2,…,where τ : N → Z, τ(n) < n ...
We obtain boundedness and asymptotic behavior of solutions for semilinear functional difference equa...
This paper deals with asymptotic properties of a vector difference equation with delayed argument &D...
AbstractThis paper discusses some asymptotic properties of the delay difference equation Δy(n)=a(n)y...
AbstractConsider the linear delay difference equation xn+1 − xn = anxnk, where an′s are real numbers...
AbstractThis paper considers a class of nonlinear difference equations Δ3yn + ƒ(n, yn, yn−r) = 0, n ...
summary:In this paper we investigate the asymptotic properties of all solutions of the delay differe...
Abstract. We give the necessary and sufficient conditions for the asymptotic stability of the linear...
AbstractThe boundedness and asymptotic behavior of all solutions of the neutral delay difference equ...
We consider the second-order nonlinear difference equations of the form ∆(rn−1∆xn−1) + pn f (xn−k) ...
We study a frequently investigated class of linear difference equations Δv(n)=−p(n)v(n−k) with a po...
AbstractThis paper is concerned with the nonstationary linear difference equation yn = δyn−1 + μ(y[n...
AbstractIn this paper we obtain a necessary and sufficient condition for the asymptotic stability of...
We consider semilinear difference-delay equations with continuous time in a Euclidean space. Estimat...
We consider a nonhomogeneous linear delay difference equation with continuous vari-able and establis...
AbstractConsider the delay difference equation xn+1−xn+pnxτ(n)=0, 0,1,2,…,where τ : N → Z, τ(n) < n ...
We obtain boundedness and asymptotic behavior of solutions for semilinear functional difference equa...
This paper deals with asymptotic properties of a vector difference equation with delayed argument &D...