Solutions of the system of maximum difference equations

Volume: 3 Number: 2 October 1, 2015
D. Şimşek , M. Eröz
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Solutions of the system of maximum difference equations

Abstract

The behaviour and periodicity of the solutions of the following system of difference equations is examined (1) where the initial conditions are positive real numbers.

Keywords

Difference Equation, Maximum Operations, Semicycle, Periodicity

References

  1. [1] A. M. Amleh, "Boundedness Periodicity and Stability of Some Difference Equations", PhD Thesis, University of Rhode Island, 1998.
  2. [2] C. Çinar, S. Stevic and İ.Yalçınkaya, "On the positive solutions of reciprocal difference equation with minimum", Journal of Applied Mathematics and Computing, 17, (1-2), 307-314, 2005.
  3. [3] S. Elaydi, "An Introduction to Difference Equations", Spinger-Verlag, New York, 1996.
  4. [4] E. M. Elsayed and S. Stevic, "On the max-type equation x_{n 1}=max{A/x_{n},x_{n-2}}", Nonlinear Analysis, TMA 71, 910-922, 2009.
  5. [5] E. M. Elsayed, B. Iricanin and S. Stevic, "On the max-type equation x_{n 1} = max{A_{n}/x_{n},x_{n-1}}", ARS Combin., 2010.
  6. [6] J. Feuer, "Periodic solutions of the Lyness max equation", Journal of Mathematical Analysis and Applications, 288, 147-160, 2003.
  7. [7] A. Gelişken, C. Çinar and R. Karataş, "A note on the periodicity of the Lyness max equation", Advances in Difference Equations, Vol. (2008), Article ID 651747, 5 pages, 2008.
  8. [8] A.Gelişken, , C. Çinar and İ. Yalçınkaya, "On the periodicity of a difference equation with maximum", Discrete Dynamics in Nature and Society, Vol. 2008, Article ID 820629, 11 pages, 2008.
  9. [9] A. Gelişken , Çinar, C. and A.S. Kurbanlı, "On the asymptotic behavior and periodic nature of a difference equation with maximum", Computers

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

D. Şimşek This is me

M. Eröz This is me

Publication Date

October 1, 2015

Submission Date

October 1, 2015

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 2

IZ

https://izlik.org/JA84TT87LR

Cite

RIS / Bibtex
APA
Şimşek, D., & Eröz, M. (2015). Solutions of the system of maximum difference equations. MANAS Journal of Engineering, 3(2), 34-47. https://izlik.org/JA84TT87LR
AMA
1.Şimşek D, Eröz M. Solutions of the system of maximum difference equations. MJEN. 2015;3(2):34-47. https://izlik.org/JA84TT87LR
Chicago
Şimşek, D., and M. Eröz. 2015. “Solutions of the System of Maximum Difference Equations”. MANAS Journal of Engineering 3 (2): 34-47. https://izlik.org/JA84TT87LR.
EndNote
Şimşek D, Eröz M (October 1, 2015) Solutions of the system of maximum difference equations. MANAS Journal of Engineering 3 2 34–47.
IEEE
[1]D. Şimşek and M. Eröz, “Solutions of the system of maximum difference equations”, MJEN, vol. 3, no. 2, pp. 34–47, Oct. 2015, [Online]. Available: https://izlik.org/JA84TT87LR
ISNAD
Şimşek, D. - Eröz, M. “Solutions of the System of Maximum Difference Equations”. MANAS Journal of Engineering 3/2 (October 1, 2015): 34-47. https://izlik.org/JA84TT87LR.
JAMA
1.Şimşek D, Eröz M. Solutions of the system of maximum difference equations. MJEN. 2015;3:34–47.
MLA
Şimşek, D., and M. Eröz. “Solutions of the System of Maximum Difference Equations”. MANAS Journal of Engineering, vol. 3, no. 2, Oct. 2015, pp. 34-47, https://izlik.org/JA84TT87LR.
Vancouver
1.D. Şimşek, M. Eröz. Solutions of the system of maximum difference equations. MJEN [Internet]. 2015 Oct. 1;3(2):34-47. Available from: https://izlik.org/JA84TT87LR

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