SavedAdd your journal

Journals / Journal of Advanced Mathematics and Mathematics Education / 2023 / Cilt: 6 Sayı: 2

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

Elsayed ELSAYED
Pages
8–29
Publication Date
2023-05-17
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also provide solutions four special cases of this equation

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact:We also provide solutions four special cases of this equation
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:difference equations · stability · boundedness

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

🔖

Cite This Article

ELSAYED, E. (2023). The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation. Journal of Advanced Mathematics and Mathematics Education, Cilt: 6 Sayı: 2, 8–29. https://ajindex.com/articles/937753

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (7)

  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