Research Article

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

Volume: 6 Number: 2 May 17, 2023
Elsayed Elsayed *
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Journal of Advanced Mathematics and Mathematics Education Cover Journal of Advanced Mathematics and Mathematics Education
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The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation

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

Keywords

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

References

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  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

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

May 17, 2023

Submission Date

February 13, 2023

Acceptance Date

March 12, 2023

Published in Issue

Year 2023 Volume: 6 Number: 2

IZ

https://izlik.org/JA73LD63WL

Cite

RIS / Bibtex
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. JAMAME. 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 (May 1, 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”, JAMAME, vol. 6, no. 2, pp. 8–29, May 2023, [Online]. Available: 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 (May 1, 2023): 8-29. https://izlik.org/JA73LD63WL.
JAMA
1.Elsayed E. The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation. JAMAME. 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, vol. 6, no. 2, May 2023, pp. 8-29, https://izlik.org/JA73LD63WL.
Vancouver
1.Elsayed Elsayed. The Behavior of Solution of Fifteenth-Order Class Rational Difference Equation. JAMAME [Internet]. 2023 May 1;6(2):8-29. Available from: https://izlik.org/JA73LD63WL

Baş editör; Prof .Dr. Seyfullah Hızarcı