AbstractWe consider the following two difference equations: ▵yn=∑k=1mak(n)fk(yτk(n))=0, n⪈0 and ▵yn=bnyn+∑k=1mak(n)|yτk(n)|γksgn yτk(n)=0, n⪈0 where Δyn = yn+1 − yn. We obtain some asymptotic estimates of solutions for these equations
In this paper we study the asymptotic behavior of solutions to difference equations of various types...
AbstractFormal series solutions are obtained for the difference equation y(n+2)+a(n)y(n+1)+b(n)y(n) ...
AbstractThe asymptotic behavior of the solutions of the second-order difference equation Δ2x(n) = ƒ(...
AbstractIn this work, we study the boundedness and the global asymptotic behavior of the solutions o...
AbstractIt is known that if Σ∞j∣pj∣<∞, then the difference equation Δ2yn−1 = pnyn, n = 1,|, has solu...
Abstract. Asymptotic properties of solutions of difference equations of the form ∆mxn = an f (n, xσ(...
In the paper sufficient conditions for the difference equation r qx = iCLn X n+i i=o to have a solut...
AbstractIn this paper, we consider the higher order difference equationy(k+n)+p1(k)y(k+n-1)+p2(k)y(k...
In this work, we study the boundedness and the global asymptotic behavior of the solutions of the di...
AbstractWe investigate the asymptotic behavior of solutions of a separable difference equation of th...
Abstract. Asymptotic properties of solutions of difference equation of the form ∆mxn = anϕn(xσ(n)) +...
AbstractIn this paper we present a theorem on asymptotic behavior of W(n, x(n)) where x(n) is a solu...
summary:The nonlinear difference equation \[ x_{n+1}-x_n=a_n\varphi _n(x_{\sigma (n)})+b_n, \qquad \...
The authors consider the mth order nonlinear difference equations of the form Dmyn+qnf(yσ(n))=ei, wh...
summary:Asymptotic properties of solutions of difference equation of the form \[ \Delta ^m x_n=a_n\v...
In this paper we study the asymptotic behavior of solutions to difference equations of various types...
AbstractFormal series solutions are obtained for the difference equation y(n+2)+a(n)y(n+1)+b(n)y(n) ...
AbstractThe asymptotic behavior of the solutions of the second-order difference equation Δ2x(n) = ƒ(...
AbstractIn this work, we study the boundedness and the global asymptotic behavior of the solutions o...
AbstractIt is known that if Σ∞j∣pj∣<∞, then the difference equation Δ2yn−1 = pnyn, n = 1,|, has solu...
Abstract. Asymptotic properties of solutions of difference equations of the form ∆mxn = an f (n, xσ(...
In the paper sufficient conditions for the difference equation r qx = iCLn X n+i i=o to have a solut...
AbstractIn this paper, we consider the higher order difference equationy(k+n)+p1(k)y(k+n-1)+p2(k)y(k...
In this work, we study the boundedness and the global asymptotic behavior of the solutions of the di...
AbstractWe investigate the asymptotic behavior of solutions of a separable difference equation of th...
Abstract. Asymptotic properties of solutions of difference equation of the form ∆mxn = anϕn(xσ(n)) +...
AbstractIn this paper we present a theorem on asymptotic behavior of W(n, x(n)) where x(n) is a solu...
summary:The nonlinear difference equation \[ x_{n+1}-x_n=a_n\varphi _n(x_{\sigma (n)})+b_n, \qquad \...
The authors consider the mth order nonlinear difference equations of the form Dmyn+qnf(yσ(n))=ei, wh...
summary:Asymptotic properties of solutions of difference equation of the form \[ \Delta ^m x_n=a_n\v...
In this paper we study the asymptotic behavior of solutions to difference equations of various types...
AbstractFormal series solutions are obtained for the difference equation y(n+2)+a(n)y(n+1)+b(n)y(n) ...
AbstractThe asymptotic behavior of the solutions of the second-order difference equation Δ2x(n) = ƒ(...