On the eventual periodicity of xn + 1 = max {frac(1, xn), frac(An, xn - 1)} with a period-five parameter

J. Feuer; K. T. McDonnell

doi:10.1016/j.camwa.2008.01.018

On the eventual periodicity of x_{n + 1} = max {frac(1, x_n), frac(A_n, x_{n - 1})} with a period-five parameter

J. Feuer
, K. T. McDonnell

Computer Science

Dowling College

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, we will study the max difference equation, x_{n + 1} = max {frac(1, x_n), frac(A_n, x_{n - 1})}, when {A_n} is a period-five sequence of real numbers greater than one. We will prove that every solution is eventually periodic with period twenty.

Original language	English
Pages (from-to)	883-890
Number of pages	8
Journal	Computers and Mathematics with Applications
Volume	56
Issue number	4
DOIs	https://doi.org/10.1016/j.camwa.2008.01.018
State	Published - Aug 2008

Keywords

Asymptotic behavior
Periodic solutions
Semicycle analysis

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10.1016/j.camwa.2008.01.018

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title = "On the eventual periodicity of xn + 1 = max \{frac(1, xn), frac(An, xn - 1)\} with a period-five parameter",

abstract = "In this paper, we will study the max difference equation, xn + 1 = max \{frac(1, xn), frac(An, xn - 1)\}, when \{An\} is a period-five sequence of real numbers greater than one. We will prove that every solution is eventually periodic with period twenty.",

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AU - McDonnell, K. T.

PY - 2008/8

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N2 - In this paper, we will study the max difference equation, xn + 1 = max {frac(1, xn), frac(An, xn - 1)}, when {An} is a period-five sequence of real numbers greater than one. We will prove that every solution is eventually periodic with period twenty.

AB - In this paper, we will study the max difference equation, xn + 1 = max {frac(1, xn), frac(An, xn - 1)}, when {An} is a period-five sequence of real numbers greater than one. We will prove that every solution is eventually periodic with period twenty.

KW - Asymptotic behavior

KW - Periodic solutions

KW - Semicycle analysis

UR - https://www.scopus.com/pages/publications/46049095246

U2 - 10.1016/j.camwa.2008.01.018

DO - 10.1016/j.camwa.2008.01.018

M3 - Article

AN - SCOPUS:46049095246

SN - 0898-1221

VL - 56

SP - 883

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JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 4

ER -

On the eventual periodicity of x_{n + 1} = max {frac(1, x_n), frac(A_n, x_{n - 1})} with a period-five parameter

Abstract

Keywords

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