On the recursive sequence xn + 1 = α + frac(xn - 1, xnk)

Alaa E. Hamza; A. Morsy

doi:10.1016/j.aml.2008.02.010

On the recursive sequence x_{n + 1} = α + frac(x_{n - 1}, x_n^k)

Alaa E. Hamza
, A. Morsy

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

15 Scopus citations

Abstract

In this work we investigate the global behavior of the difference equation x_{n + 1} = α + frac(x_{n - 1}, x_n^k), n = 0, 1, 2, ... where α ∈ (0, ∞) and k ∈ (0, ∞).

Original language	English
Pages (from-to)	91-95
Number of pages	5
Journal	Applied Mathematics Letters
Volume	22
Issue number	1
DOIs	https://doi.org/10.1016/j.aml.2008.02.010
State	Published - Jan 2009
Externally published	Yes

Keywords

Boundedness
Global asymptotic stability
Oscillation
Period 2 solutions
Recursive sequences
Semicycles

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10.1016/j.aml.2008.02.010

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title = "On the recursive sequence xn + 1 = α + frac(xn - 1, xnk)",

abstract = "In this work we investigate the global behavior of the difference equation xn + 1 = α + frac(xn - 1, xnk), n = 0, 1, 2, ... where α ∈ (0, ∞) and k ∈ (0, ∞).",

keywords = "Boundedness, Global asymptotic stability, Oscillation, Period 2 solutions, Recursive sequences, Semicycles",

author = "Hamza, \{Alaa E.\} and A. Morsy",

year = "2009",

month = jan,

doi = "10.1016/j.aml.2008.02.010",

language = "English",

volume = "22",

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T1 - On the recursive sequence xn + 1 = α + frac(xn - 1, xnk)

AU - Hamza, Alaa E.

AU - Morsy, A.

PY - 2009/1

Y1 - 2009/1

N2 - In this work we investigate the global behavior of the difference equation xn + 1 = α + frac(xn - 1, xnk), n = 0, 1, 2, ... where α ∈ (0, ∞) and k ∈ (0, ∞).

AB - In this work we investigate the global behavior of the difference equation xn + 1 = α + frac(xn - 1, xnk), n = 0, 1, 2, ... where α ∈ (0, ∞) and k ∈ (0, ∞).

KW - Boundedness

KW - Global asymptotic stability

KW - Oscillation

KW - Period 2 solutions

KW - Recursive sequences

KW - Semicycles

UR - https://www.scopus.com/pages/publications/55649109844

U2 - 10.1016/j.aml.2008.02.010

DO - 10.1016/j.aml.2008.02.010

M3 - Article

AN - SCOPUS:55649109844

SN - 0893-9659

VL - 22

SP - 91

EP - 95

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 1

ER -

On the recursive sequence x_{n + 1} = α + frac(x_{n - 1}, x_n^k)

Abstract

Keywords

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