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Solutions of the system of maximum difference equations

Year 2015, Volume: 3 Issue: 2, 34 - 47, 01.10.2015

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.

References

  • [1] A. M. Amleh, "Boundedness Periodicity and Stability of Some Difference Equations", PhD Thesis, University of Rhode Island, 1998.
  • [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] S. Elaydi, "An Introduction to Difference Equations", Spinger-Verlag, New York, 1996.
  • [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] 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] J. Feuer, "Periodic solutions of the Lyness max equation", Journal of Mathematical Analysis and Applications, 288, 147-160, 2003.
  • [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] 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] A. Gelişken , Çinar, C. and A.S. Kurbanlı, "On the asymptotic behavior and periodic nature of a difference equation with maximum", Computers

Maksimumlu fark denklem sisteminin çözümleri

Year 2015, Volume: 3 Issue: 2, 34 - 47, 01.10.2015

Abstract

Aşağıdaki fark denklem sisteminin çözümlerinin periyodikliği ve davranışları incelenmiştir. 

References

  • [1] A. M. Amleh, "Boundedness Periodicity and Stability of Some Difference Equations", PhD Thesis, University of Rhode Island, 1998.
  • [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] S. Elaydi, "An Introduction to Difference Equations", Spinger-Verlag, New York, 1996.
  • [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] 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] J. Feuer, "Periodic solutions of the Lyness max equation", Journal of Mathematical Analysis and Applications, 288, 147-160, 2003.
  • [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] 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] A. Gelişken , Çinar, C. and A.S. Kurbanlı, "On the asymptotic behavior and periodic nature of a difference equation with maximum", Computers
There are 9 citations in total.

Details

Other ID JA42TG88ZU
Authors

D. Şimşek This is me

M. Eröz This is me

Publication Date October 1, 2015
Published in Issue Year 2015 Volume: 3 Issue: 2

Cite

APA Şimşek, D., & Eröz, M. (2015). Solutions of the system of maximum difference equations. MANAS Journal of Engineering, 3(2), 34-47.
AMA Şimşek D, Eröz M. Solutions of the system of maximum difference equations. MJEN. October 2015;3(2):34-47.
Chicago Şimşek, D., and M. Eröz. “Solutions of the System of Maximum Difference Equations”. MANAS Journal of Engineering 3, no. 2 (October 2015): 34-47.
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 D. Şimşek and M. Eröz, “Solutions of the system of maximum difference equations”, MJEN, vol. 3, no. 2, pp. 34–47, 2015.
ISNAD Şimşek, D. - Eröz, M. “Solutions of the System of Maximum Difference Equations”. MANAS Journal of Engineering 3/2 (October2015), 34-47.
JAMA 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, 2015, pp. 34-47.
Vancouver Şimşek D, Eröz M. Solutions of the system of maximum difference equations. MJEN. 2015;3(2):34-47.

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