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Dergiler / 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
Sayfa
8–29
Yayın Tarihi
2023-05-17
DOI
—
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We also provide solutions four special cases of this equation

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:We also provide solutions four special cases of this equation
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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

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Bu Makaleye Atıf Yap

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

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Kaynakça (7)

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  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
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  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