Solutions behavior of the system of rational difference equations x n+1= a xn+yn, yn+1= byn xn

Seifedine Kadry; Chibli Joumaa

doi:10.1063/1.4756240

Solutions behavior of the system of rational difference equations x _n+1= a x_n+y_n, y_n+1= by_n x_n

Seifedine Kadry
, Chibli Joumaa

American University of the Middle East

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, we study the convergence and divergence of the positive solutions of the system of difference equations, x_n+1=ax _n+y_n, y_n+1=by_nx_n where x₀, y₀, a, b∈[0∞).

Original language	English
Title of host publication	Numerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics
Pages	733-736
Number of pages	4
Edition	1
DOIs	https://doi.org/10.1063/1.4756240
State	Published - 2012
Externally published	Yes
Event	International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 - Kos, Greece Duration: 19 Sep 2012 → 25 Sep 2012

Publication series

Name	AIP Conference Proceedings
Number	1
Volume	1479
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012
Country/Territory	Greece
City	Kos
Period	19/09/12 → 25/09/12

Keywords

Difference equation
System solutions

Access to Document

10.1063/1.4756240

Cite this

@inproceedings{d9e56d32d9f54138926b0731329b7125,

title = "Solutions behavior of the system of rational difference equations x n+1= a xn+yn, yn+1= byn xn",

abstract = "In this paper, we study the convergence and divergence of the positive solutions of the system of difference equations, xn+1=ax n+yn, yn+1=bynxn where x0, y0, a, b∈[0∞).",

keywords = "Difference equation, System solutions",

author = "Seifedine Kadry and Chibli Joumaa",

year = "2012",

doi = "10.1063/1.4756240",

language = "English",

isbn = "9780735410916",

series = "AIP Conference Proceedings",

number = "1",

pages = "733--736",

booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics",

edition = "1",

note = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 ; Conference date: 19-09-2012 Through 25-09-2012",

}

Kadry, S & Joumaa, C 2012, Solutions behavior of the system of rational difference equations x _n+1= a x_n+y_n, y_n+1= by_n x_n. in Numerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics. 1 edn, AIP Conference Proceedings, no. 1, vol. 1479, pp. 733-736, International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012, Kos, Greece, 19/09/12. https://doi.org/10.1063/1.4756240

Solutions behavior of the system of rational difference equations x _n+1= a x_n+y_n, y_n+1= by_n x_n. / Kadry, Seifedine; Joumaa, Chibli.
Numerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics. 1. ed. 2012. p. 733-736 (AIP Conference Proceedings; Vol. 1479, No. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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