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Displaying 41 – 60 of 124

On the appearance of primes in linear recursive sequences.

Jaroma, John H. (2005)

Advances in Difference Equations [electronic only]

On the asymptotic behavior of solutions of linear difference equations.

Jerzy Popenda, Ewa Schmeidel (1994)

Publicacions Matemàtiques

In the paper sufficient conditions for the difference equation :Δxn = Σi=0r an(i) xn+ito have a solution which tends to a constant, are given. Applying these conditions, an asymptotic formula for a solution of an m-th order equation is presented.

On the asymptotic behaviour of solutions of difference equations

J. Popenda (1988)

Annales Polonici Mathematici

On the asymptotic behaviour of the solutions of an n-th order difference equation

J. Popenda (1984)

Annales Polonici Mathematici

On the asymptotic integration of nonlinear dynamic equations.

Akın-Bohner, Elvan, Bohner, Martin, Djebali, Smaïl, Moussaoui, Toufik (2008)

Advances in Difference Equations [electronic only]

On the asymptotically periodic solution of some linear difference equations

Jerzy Popenda, Ewa Schmeidel (1999)

Archivum Mathematicum

For the linear difference equation $x_{n + 1} - a_{n} x_{n} = \sum_{i = 0}^{r} a_{n}^{(i)} x_{n + i}, n \in N$ sufficient conditions for the existence of an asymptotically periodic solutions are given.

On the behavior of the solutions to autonomous linear difference equations with continuous variable

Christos G. Philos, Ioannis K. Purnaras (2007)

Archivum Mathematicum

Autonomous linear neutral delay and, especially, (non-neutral) delay difference equations with continuous variable are considered, and some new results on the behavior of the solutions are established. The results are obtained by the use of appropriate positive roots of the corresponding characteristic equation.

On the behaviour of the solutions of a second-order difference equation.

Gutnik, Leonid, Stević, Stevo (2007)

Discrete Dynamics in Nature and Society

On the difference equation $x_{n + 1} = \sum_{j = 0}^{k} a_{j} f_{j} (x_{n - j})$ .

Stević, Stevo (2007)

Discrete Dynamics in Nature and Society

On the difference equation $x_{n + 1} = (α x_{n} + β x_{n - 1}) e^{- x_{n}}$ .

Ding, Xiaohua, Zhang, Rongyan (2008)

Advances in Difference Equations [electronic only]

On the discrete maximum principle for parabolic difference operators

Hung-Ju Kuo, N. S. Trudinger (1993)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

On the existence and uniqueness of periodic solutions for difference equations of second order

Zdzisław Denkowski (1973)

Annales Polonici Mathematici

On the existence of positive solutions for certain difference equations and inequalities.

Philos, Ch.G. (1998)

Journal of Inequalities and Applications [electronic only]

On the existence of positive solutions of second order neutral difference equations

Wen-Xian Lin (2004)

Applicationes Mathematicae

The neutral delay difference equations of second order with positive and negative coefficients $Δ ² (x ₙ + p ₙ x_{n - τ}) + q ₙ x_{n - σ} - r ₙ x_{n - λ} = 0$ , n = 0,1,2,... studied sufficient condition existence positive solution equation obtained

On the existence of solutions of some second order nonlinear difference equations

Małgorzata Migda, Ewa Schmeidel, Małgorzata Zbąszyniak (2005)

Archivum Mathematicum

We consider a second order nonlinear difference equation $Δ^{2} y_{n} = a_{n} y_{n + 1} + f (n, y_{n}, y_{n + 1}), n \in N . (E)$ The necessary conditions under which there exists a solution of equation (E) which can be written in the form $y_{n + 1} = α_{n} u_{n} + β_{n} v_{n}, are given.$ Here $u$ and $v$ are two linearly independent solutions of equation $Δ^{2} y_{n} = a_{n + 1} y_{n + 1}, (lim_{n \to \infty} α_{n} = α < \infty and lim_{n \to \infty} β_{n} = β < \infty) .$ A special case of equation (E) is also considered.