Solutions Of The Maximum Of Difference Equations

Year 2018, Volume: 6 Issue: 1, 14 - 25, 01.05.2018

D. Şimşek N. Camsitov

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

Maksimumlu Fark Denkleminin Çözümleri

Abstract

Aşağıdaki fark denklem sisteminin çözümlerinin periyodikliği ve davranışları incelenmiştir

Keywords

Fark Denklemi, Maksimum Operatörü, Yarı Dönmeler, Periyodiklik.

References

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