AbstractIn this paper we obtain a necessary and sufficient condition for the asymptotic stability of the zero solution of the linear delay difference equationxn+1−xn+p∑j=1Nxn−k+(j−1)l=0,n=0,1,2,…,by using root-analysis for the characteristic equation. Here, p is a real number and k, l, and N are positive integers with k>(N−1)l
Consider the linear differential equation x(t)= Σi=1npi(t)x(t-ti)=0, t≥t0where p C([t0∞), R) and ti\...
AbstractThis paper discusses some asymptotic properties of the delay difference equation Δy(n)=a(n)y...
AbstractWe consider the following non-autonomous and nonlinear difference equations with unbounded d...
Abstract. We give the necessary and sufficient conditions for the asymptotic stability of the linear...
AbstractIn this paper, the linear delay difference equation xn+1 −xn = −anxn−k, where an ≥ 0 (n ≥ 0)...
In this paper, we give new necessary and sufficient conditions for the asymptotic stability of a lin...
AbstractWe shall obtain sufficient conditions for the uniform stability and the global asymptotic st...
AbstractConsider the linear delay difference equation xn+1 − xn = anxnk, where an′s are real numbers...
AbstractIn this paper we obtain a necessary and sufficient condition for the asymptotic stability of...
AbstractWe obtain necessary and sufficient conditions for the asymptotic stability of the difference...
AbstractThis paper is concerned with the linear delay partial difference equation a(i,j)u(i+1,j)+u(i...
AbstractWe obtain sufficient conditions which ensure that all solutions of the first order non-linea...
AbstractThis paper is devoted to the stability analysis of a delay difference system of the form xn+...
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 linear delay partial difference equation u(i,j+1)=a(i,j)u(i...
Consider the linear differential equation x(t)= Σi=1npi(t)x(t-ti)=0, t≥t0where p C([t0∞), R) and ti\...
AbstractThis paper discusses some asymptotic properties of the delay difference equation Δy(n)=a(n)y...
AbstractWe consider the following non-autonomous and nonlinear difference equations with unbounded d...
Abstract. We give the necessary and sufficient conditions for the asymptotic stability of the linear...
AbstractIn this paper, the linear delay difference equation xn+1 −xn = −anxn−k, where an ≥ 0 (n ≥ 0)...
In this paper, we give new necessary and sufficient conditions for the asymptotic stability of a lin...
AbstractWe shall obtain sufficient conditions for the uniform stability and the global asymptotic st...
AbstractConsider the linear delay difference equation xn+1 − xn = anxnk, where an′s are real numbers...
AbstractIn this paper we obtain a necessary and sufficient condition for the asymptotic stability of...
AbstractWe obtain necessary and sufficient conditions for the asymptotic stability of the difference...
AbstractThis paper is concerned with the linear delay partial difference equation a(i,j)u(i+1,j)+u(i...
AbstractWe obtain sufficient conditions which ensure that all solutions of the first order non-linea...
AbstractThis paper is devoted to the stability analysis of a delay difference system of the form xn+...
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 linear delay partial difference equation u(i,j+1)=a(i,j)u(i...
Consider the linear differential equation x(t)= Σi=1npi(t)x(t-ti)=0, t≥t0where p C([t0∞), R) and ti\...
AbstractThis paper discusses some asymptotic properties of the delay difference equation Δy(n)=a(n)y...
AbstractWe consider the following non-autonomous and nonlinear difference equations with unbounded d...
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