Maksimumlu Fark Denklem Sisteminin Çözümleri

Aşağıdaki fark denklem sisteminin çözümlerinin davranışları incelenmiştir.

Solutions Of The System Of Maximum Difference Equations

The behaviour 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, University of Rhode Island,(1998) (PhD Thesis).
  • [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), (2005), 307-314.
  • [3] S. Elaydi, An Introduction to Difference Equations, Spinger-Verlag, (1996), New York.
  • [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, (2009), 910-922.
  • [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., (to appear).
  • [6] J. Feuer, Periodic solutions of the Lyness max equation, Journal of Mathematical Analysis and Applications, 288,(2003), 147-160.
  • [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.
  • [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, (2008), Article ID 820629, 11 pages.
  • [9] A. Gelişken , Çinar, C. and A.S. Kurbanlı, On the asymptotic behavior and periodic nature of a difference equation with maximum, Computers