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

Cilt: 6 Sayı: 2 17 Mayıs 2023
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The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation

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.

Kaynakça

  1. [1] Abdul Khaliq, Sk. S. Hassan, M. Saqib and D. S. Mashat, Behavior of a syventh order rational di erence equations, Dynamic Systems and Applications, 28(4)(2019), 1056-2176.
  2. [2] Abdul Khaliq, SK. S. Hassan, On a new class of rational di erence equation xn+1 = axn + bxn􀀀k + + xn􀀀k
  3. A+Bxn􀀀k ; Journal of Applied Nonlinear Dynamics, 8(4) (2019) 569-584.
  4. [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.
  5. [4] M. B. Almatra , Solutions Structures for Some Systems of Fractional Di erence Equa- tions, Open Journal of Mathematical Analysis, 3(1) (2019), 51-61.
  6. [5] A. M. Alotaibi, M. S. M. Noorani, and M. A. El-Moneam, \On the asymptotic be- havior of some nonlinear di erence equations," Journal of Computational Analysis,and Applications, 26( 2019). 604{627.
  7. [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.
  8. [7] E. Camouzis, G. Ladas and H. D. Voulov, On the dynamics of xn+1 = + xn􀀀1 + xn􀀀2 A + xn􀀀2 , J. Di er Equations Appl., 9 (8) (2003), 731-738. 1

Kaynak Göster

APA
Elsayed, E. (2023). The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation. Journal of Advanced Mathematics and Mathematics Education, 6(2), 8-29. https://izlik.org/JA73LD63WL
AMA
1.Elsayed E. The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation. Journal of Advanced Mathematics and Mathematics Education. 2023;6(2):8-29. https://izlik.org/JA73LD63WL
Chicago
Elsayed, Elsayed. 2023. “The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation”. Journal of Advanced Mathematics and Mathematics Education 6 (2): 8-29. https://izlik.org/JA73LD63WL.
EndNote
Elsayed E (01 Mayıs 2023) The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation. Journal of Advanced Mathematics and Mathematics Education 6 2 8–29.
IEEE
[1]E. Elsayed, “The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation”, Journal of Advanced Mathematics and Mathematics Education, c. 6, sy 2, ss. 8–29, May. 2023, [çevrimiçi]. Erişim adresi: https://izlik.org/JA73LD63WL
ISNAD
Elsayed, Elsayed. “The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation”. Journal of Advanced Mathematics and Mathematics Education 6/2 (01 Mayıs 2023): 8-29. https://izlik.org/JA73LD63WL.
JAMA
1.Elsayed E. The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation. Journal of Advanced Mathematics and Mathematics Education. 2023;6:8–29.
MLA
Elsayed, Elsayed. “The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation”. Journal of Advanced Mathematics and Mathematics Education, c. 6, sy 2, Mayıs 2023, ss. 8-29, https://izlik.org/JA73LD63WL.
Vancouver
1.Elsayed Elsayed. The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation. Journal of Advanced Mathematics and Mathematics Education [Internet]. 01 Mayıs 2023;6(2):8-29. Erişim adresi: https://izlik.org/JA73LD63WL