On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]

Burak Oğul; Dağistan Şimşek

doi:10.51354/mjen.748450

EN

On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]

Abstract

In this paper, given solutions fort he following difference equation x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)] where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. We investigate periodic behavior of this equation. Also some numerical examples and graphs of solutions are given.

Keywords

difference equations, recursive sequences, recursive

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Burak Oğul ^*
0000-0002-3264-4340
Türkiye

Dağistan Şimşek
0000-0003-3003-807X
Türkiye

Publication Date

December 21, 2020

Submission Date

June 5, 2020

Acceptance Date

October 27, 2020

Published in Issue

Year 2020 Volume: 8 Number: 2

DOI

https://doi.org/10.51354/mjen.748450

IZ

https://izlik.org/JA53DN83DC

APA

Oğul, B., & Şimşek, D. (2020). On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]. MANAS Journal of Engineering, 8(2), 155-163. https://doi.org/10.51354/mjen.748450

AMA

1.Oğul B, Şimşek D. On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]. MJEN. 2020;8(2):155-163. doi:10.51354/mjen.748450

Chicago

Oğul, Burak, and Dağistan Şimşek. 2020. “On the Recursive Sequence X(n+!) = X(n-14) [1 + X(n-2) X(n-5) X(n-8) X(n-11)]”. MANAS Journal of Engineering 8 (2): 155-63. https://doi.org/10.51354/mjen.748450.

EndNote

Oğul B, Şimşek D (December 1, 2020) On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]. MANAS Journal of Engineering 8 2 155–163.

IEEE

[1]B. Oğul and D. Şimşek, “On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]”, MJEN, vol. 8, no. 2, pp. 155–163, Dec. 2020, doi: 10.51354/mjen.748450.

ISNAD

Oğul, Burak - Şimşek, Dağistan. “On the Recursive Sequence X(n+!) = X(n-14) [1 + X(n-2) X(n-5) X(n-8) X(n-11)]”. MANAS Journal of Engineering 8/2 (December 1, 2020): 155-163. https://doi.org/10.51354/mjen.748450.

JAMA

1.Oğul B, Şimşek D. On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]. MJEN. 2020;8:155–163.

MLA

Oğul, Burak, and Dağistan Şimşek. “On the Recursive Sequence X(n+!) = X(n-14) [1 + X(n-2) X(n-5) X(n-8) X(n-11)]”. MANAS Journal of Engineering, vol. 8, no. 2, Dec. 2020, pp. 155-63, doi:10.51354/mjen.748450.

Vancouver

1.Burak Oğul, Dağistan Şimşek. On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]. MJEN. 2020 Dec. 1;8(2):155-63. doi:10.51354/mjen.748450

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