Add to ORKGsummary:Asymptotic properties of the solutions of the second order nonlinear difference equation (with perturbed arguments) of the form \[ \Delta ^2 x_n = a_n \varphi (x_{n+k}) \] are studied
AbstractIn this paper, the linear delay difference equation xn+1 −xn = −anxn−k, where an ≥ 0 (n ≥ 0)...
AbstractIn this work we show that the following difference equation: xn+1=xn−k1+xn+⋯+xn−k+1,n=0,1,…,...
AbstractA new method is given for the computation and verification of asymptotic approximations for ...
summary:Asymptotic properties of the solutions of the second order nonlinear difference equation (wi...
summary:Using the method of variation of constants, discrete inequalities and Tychonoff’s fixed-poin...
AbstractFor second-order linear and nonlinear difference equations some qualitative properties of so...
summary:Asymptotic properties of solutions of the difference equation of the form \[ \Delta ^m x_n=a...
AbstractIt is known that if Σ∞j∣pj∣<∞, then the difference equation Δ2yn−1 = pnyn, n = 1,|, has solu...
summary:For the linear difference equation \[ x_{n+1} -a_n x_n = \sum _{i=0}^r a_n^{(i)}x_{n+i}, \;\...
summary:Asymptotic properties of solutions of difference equation of the form \[ \Delta ^m x_n=a_n\v...
AbstractUsing dichotomy conditions, we obtain asymptotic formulae for the solutions of perturbed lin...
summary:The asymptotic and oscillatory behavior of solutions of mth order damped nonlinear differenc...
AbstractIn this paper, we study the boundedness and monotonicity properties of solutions of the diff...
AbstractAsymptotic behavior of solutions of the mth-order difference equation of the form (E1) Δmxn ...
AbstractThe paper settles the asymptotic behaviour of the solutions of the difference-differential e...
AbstractIn this paper, the linear delay difference equation xn+1 −xn = −anxn−k, where an ≥ 0 (n ≥ 0)...
AbstractIn this work we show that the following difference equation: xn+1=xn−k1+xn+⋯+xn−k+1,n=0,1,…,...
AbstractA new method is given for the computation and verification of asymptotic approximations for ...
summary:Asymptotic properties of the solutions of the second order nonlinear difference equation (wi...
summary:Using the method of variation of constants, discrete inequalities and Tychonoff’s fixed-poin...
AbstractFor second-order linear and nonlinear difference equations some qualitative properties of so...
summary:Asymptotic properties of solutions of the difference equation of the form \[ \Delta ^m x_n=a...
AbstractIt is known that if Σ∞j∣pj∣<∞, then the difference equation Δ2yn−1 = pnyn, n = 1,|, has solu...
summary:For the linear difference equation \[ x_{n+1} -a_n x_n = \sum _{i=0}^r a_n^{(i)}x_{n+i}, \;\...
summary:Asymptotic properties of solutions of difference equation of the form \[ \Delta ^m x_n=a_n\v...
AbstractUsing dichotomy conditions, we obtain asymptotic formulae for the solutions of perturbed lin...
summary:The asymptotic and oscillatory behavior of solutions of mth order damped nonlinear differenc...
AbstractIn this paper, we study the boundedness and monotonicity properties of solutions of the diff...
AbstractAsymptotic behavior of solutions of the mth-order difference equation of the form (E1) Δmxn ...
AbstractThe paper settles the asymptotic behaviour of the solutions of the difference-differential e...
AbstractIn this paper, the linear delay difference equation xn+1 −xn = −anxn−k, where an ≥ 0 (n ≥ 0)...
AbstractIn this work we show that the following difference equation: xn+1=xn−k1+xn+⋯+xn−k+1,n=0,1,…,...
AbstractA new method is given for the computation and verification of asymptotic approximations for ...