Research Article
BibTex RIS Cite

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

Year 2023, Volume: 6 Issue: 2, 8 - 29, 17.05.2023

Abstract

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

Supporting Institution

-

Project Number

-

References

  • [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] Abdul Khaliq, SK. S. Hassan, On a new class of rational di erence 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 Di erence 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 di erence 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. Di er Equations Appl., 9 (8) (2003), 731-738. 1
Year 2023, Volume: 6 Issue: 2, 8 - 29, 17.05.2023

Abstract

Project Number

-

References

  • [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] Abdul Khaliq, SK. S. Hassan, On a new class of rational di erence 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 Di erence 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 di erence 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. Di er Equations Appl., 9 (8) (2003), 731-738. 1
There are 8 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section The Behavior of Solution of Fifteenth-Order Class Rational Di erence Equation
Authors

Elsayed Elsayed 0000-0003-0894-8472

Project Number -
Publication Date May 17, 2023
Submission Date February 13, 2023
Published in Issue Year 2023 Volume: 6 Issue: 2

Cite

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.