On the periodic solutions of the difference equations xn+1 = a + b xn/xn-1 and xn+1 = a + b xn-1/xn + cxn/xn-1

Seifedine Kadry

doi:10.1063/1.4951918

On the periodic solutions of the difference equations x_n+1 = a + b x_n/x_n-1 and x_n+1 = a + b x_n-1/x_n + cx_n/x_n-1

Seifedine Kadry

American University of the Middle East

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

Abstract

In this paper, we develop a new technique to find the periodic solutions of the difference equations xn+1=a+bxnxn-1 and xn+1=a+bxn-1xn+cxnxn-1.

Original language	English
Title of host publication	International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
Editors	Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras, Theodore E. Simos
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735413924
DOIs	https://doi.org/10.1063/1.4951918
State	Published - 8 Jun 2016
Externally published	Yes
Event	International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015 - Rhodes, Greece Duration: 23 Sep 2015 → 29 Sep 2015

Publication series

Name	AIP Conference Proceedings
Volume	1738
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
Country/Territory	Greece
City	Rhodes
Period	23/09/15 → 29/09/15

Keywords

difference equations
periodic solutions

Access to Document

10.1063/1.4951918

Cite this

Kadry, S. (2016). On the periodic solutions of the difference equations x_n+1 = a + b x_n/x_n-1 and x_n+1 = a + b x_n-1/x_n + cx_n/x_n-1 In T. E. Simos, T. E. Simos, C. Tsitouras, & T. E. Simos (Eds.), International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015 Article 130002 (AIP Conference Proceedings; Vol. 1738). American Institute of Physics Inc.. https://doi.org/10.1063/1.4951918

Kadry, Seifedine. / On the periodic solutions of the difference equations x_n+1 = a + b x_n/x_n-1 and x_n+1 = a + b x_n-1/x_n + cx_n/x_n-1 International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015. editor / Theodore E. Simos ; Theodore E. Simos ; Charalambos Tsitouras ; Theodore E. Simos. American Institute of Physics Inc., 2016. (AIP Conference Proceedings).

@inproceedings{389ad0ac6561461b8554c7ba5359a841,

title = "On the periodic solutions of the difference equations xn+1 = a + b xn/xn-1 and xn+1 = a + b xn-1/xn + cxn/xn-1 ",

abstract = "In this paper, we develop a new technique to find the periodic solutions of the difference equations xn+1=a+bxnxn-1 and xn+1=a+bxn-1xn+cxnxn-1.",

keywords = "difference equations, periodic solutions",

author = "Seifedine Kadry",

note = "Publisher Copyright: {\textcopyright} 2016 Author(s).; International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015 ; Conference date: 23-09-2015 Through 29-09-2015",

year = "2016",

month = jun,

day = "8",

doi = "10.1063/1.4951918",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Simos, \{Theodore E.\} and Simos, \{Theodore E.\} and Charalambos Tsitouras and Simos, \{Theodore E.\}",

booktitle = "International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015",

}

Kadry, S 2016, On the periodic solutions of the difference equations x_n+1 = a + b x_n/x_n-1 and x_n+1 = a + b x_n-1/x_n + cx_n/x_n-1 in TE Simos, TE Simos, C Tsitouras & TE Simos (eds), International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015., 130002, AIP Conference Proceedings, vol. 1738, American Institute of Physics Inc., International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015, Rhodes, Greece, 23/09/15. https://doi.org/10.1063/1.4951918

On the periodic solutions of the difference equations x_n+1 = a + b x_n/x_n-1 and x_n+1 = a + b x_n-1/x_n + cx_n/x_n-1 . / Kadry, Seifedine.
International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015. ed. / Theodore E. Simos; Theodore E. Simos; Charalambos Tsitouras; Theodore E. Simos. American Institute of Physics Inc., 2016. 130002 (AIP Conference Proceedings; Vol. 1738).

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

TY - GEN

T1 - On the periodic solutions of the difference equations xn+1 = a + b xn/xn-1 and xn+1 = a + b xn-1/xn + cxn/xn-1

AU - Kadry, Seifedine

PY - 2016/6/8

Y1 - 2016/6/8

N2 - In this paper, we develop a new technique to find the periodic solutions of the difference equations xn+1=a+bxnxn-1 and xn+1=a+bxn-1xn+cxnxn-1.

AB - In this paper, we develop a new technique to find the periodic solutions of the difference equations xn+1=a+bxnxn-1 and xn+1=a+bxn-1xn+cxnxn-1.

KW - difference equations

KW - periodic solutions

UR - https://www.scopus.com/pages/publications/84984588925

U2 - 10.1063/1.4951918

DO - 10.1063/1.4951918

M3 - Conference contribution

AN - SCOPUS:84984588925

T3 - AIP Conference Proceedings

BT - International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015

A2 - Simos, Theodore E.

A2 - Tsitouras, Charalambos

A2 - Simos, Theodore E.

PB - American Institute of Physics Inc.

T2 - International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015

Y2 - 23 September 2015 through 29 September 2015

ER -

Kadry S. On the periodic solutions of the difference equations x_n+1 = a + b x_n/x_n-1 and x_n+1 = a + b x_n-1/x_n + cx_n/x_n-1 In Simos TE, Simos TE, Tsitouras C, Simos TE, editors, International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015. American Institute of Physics Inc. 2016. 130002. (AIP Conference Proceedings). doi: 10.1063/1.4951918