Hyers-Ulam stability of the linear recurrence with constant coefficients.

Popa, Dorian

The search session has expired. Please query the service again.

Displaying similar documents to “Hyers-Ulam stability of the linear recurrence with constant coefficients.”

On the stability of generalized d'Alembert and Jensen functional equations.

Kim, Gwang Hui, Dragomir, Sever S. (2006)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Inequalities in additive $N$ -isometries on linear $N$ -normed Banach spaces.

Park, Choonkil, Rassias, Themistocles M. (2007)

Journal of Inequalities and Applications [electronic only]

Similarity:

Isometries on linear $n$ -normed spaces.

Park, Chun-Gil, Rassias, Themistocles M. (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Similarity:

On the stability of trigonometric functional equations.

Kim, Gwang Hui (2007)

Advances in Difference Equations [electronic only]

Similarity:

Existence criteria and classification schemes for positive solutions of second-order nonlinear difference systems.

Li, Wan-Tong, Huang, Can-Yun, Cheng, Sui Sun (2006)

Discrete Dynamics in Nature and Society

Similarity:

Some boundedness results for systems of two rational difference equations

Gabriel Lugo, Frank Palladino (2010)

Open Mathematics

Similarity:

We study k th order systems of two rational difference equations $x_{n} = \frac{α + \sum_{i = 1}^{k} β_{i} x_{n - 1} + \sum_{i = 1}^{k} γ_{i} y_{n - 1}}{A + \sum_{j = 1}^{k} B_{j} x_{n - j} + \sum_{j = 1}^{k} C_{j} y_{n - j}}, y_{n} = \frac{p + \sum_{i = 1}^{k} δ_{i} x_{n - i} + \sum_{i = 1}^{k} ε_{i} y_{n - i}}{q + \sum_{j = 1}^{k} D_{j} x_{n - j} + \sum_{j = 1}^{k} E_{j} y_{n - j}} n \in ℕ$ . In particular, we assume non-negative parameters and non-negative initial conditions, such that the denominators are nonzero. We develop several approaches which allow us to extend well known boundedness results on the k th order rational difference equation to the setting of systems in certain cases.