The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation

Yıl 2023, Cilt: 6 Sayı: 2, 8 - 29, 17.05.2023

Elsayed Elsayed

Öz

In this research, we analyze the behavior of the solutions of the differential equation
Un+1 = αUn−14β+γUn−14Un−9Un−4 , n = 0, 1, ...,
where the initial values are arbitrary positive real numbers. We also provide solutions four special cases of this equation

Anahtar Kelimeler

difference equations, stability, boundedness, solution of difference equation.

Destekleyen Kurum

-

Proje Numarası

-

Kaynakça

• [1] Abdul Khaliq, Sk. S. Hassan, M. Saqib and D. S. Mashat, Behavior of a syventh order rational dierence equations, Dynamic Systems and Applications, 28(4)(2019), 1056-2176.
• [2] Abdul Khaliq, SK. S. Hassan, On a new class of rational dierence equation xn+1 = axn + bxn􀀀k + +xn􀀀k
• A+Bxn􀀀k ; Journal of Applied Nonlinear Dynamics, 8(4) (2019) 569-584.
• [3] A. Alshareef, F.Alzahrani and A. Q. Khan, Dynamics and solutions' expressions of a higher-order nonlinear fractional recursive sequenc, Mathematical Problems in Engineer- ing, 2021(2021), 12 pages.
• [4] M. B. Almatra, Solutions Structures for Some Systems of Fractional Dierence Equa- tions, Open Journal of Mathematical Analysis, 3(1) (2019), 51-61.
• [5] A. M. Alotaibi, M. S. M. Noorani, and M. A. El-Moneam, \On the asymptotic be- havior of some nonlinear dierence equations," Journal of Computational Analysis,and Applications, 26( 2019). 604{627.
• [6] A. M. Amleh, V. Kirk and G. Ladas, On the dynamics of xn+1 = a + bxn􀀀1 A + Bxn􀀀2 , Math. Sci. Res. Hot-Line, 5 (2001), 1{15.
• [7] E. Camouzis, G. Ladas and H. D. Voulov, On the dynamics of xn+1 =  + xn􀀀1 + xn􀀀2 A + xn􀀀2 , J. Dier Equations Appl., 9 (8) (2003), 731-738. 1