BibTex RIS Cite

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
Journal Section Research Article
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 (October 2015), 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.

Manas Journal of Engineering 

16155