Research Article
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AN INVESTIGATION OF THE SOLUTIONS AND THE DYNAMIC BEHAVIOR OF SOME RATIONAL DIFFERENCE EQUATIONS

Year 2023, Volume: 6 Issue: 1, 55 - 80, 31.01.2023
https://doi.org/10.33773/jum.1136294

Abstract

The main purpose of this work is to investigate the solutions, the periodic character and study the global asymptotic behavior of this so- lutions of the following rational di↵erence equation
x_(n+1) = x_(n-2)*x_(n-6) / x_(n-3)*(±1 ± x_(n-2)*x_(n-6))
with a non-zero real numbers initial conditions.

Supporting Institution

King Abdulaziz universitylaziz

References

  • [1] R. Abo-Zeid, On the Solutions of a Fourth Order Difference Equation, Universal Journal of Mathematics and Applications, 4 (2) (2021), 76-81.
  • [2] F. Bozkurt, Stability analysis of nonlinear difference equation, International Journal of Modern Nonlinear Theory and Application, 2 (1) (2013), 1-6.
  • [3] D. S. Dilip and S. M. Mathew, Dynamic of a second order nonlinear difference system with exponents, Journal of the Egyptian Mathematical Society, 29 (1) (2021), 1-10.
  • [4] R. Karatas, C. Cinar and D. Simsek, On the positive solutions of the Difference equation xn+1 = xn
  • [5] E. M. Elsayed and M. M. El-dessoky, Dynamics and global behavior for a fourth order rational difference equation, Hacettepe Journal of Mathematics and Statistics, 42 (5) (2013), 479-494.
  • [6] Q. Din, M. N. Qureshi and A. Q. Khan, Dynamic of Fourth- order system of rational difference equations, 2012 (2012): 215.
Year 2023, Volume: 6 Issue: 1, 55 - 80, 31.01.2023
https://doi.org/10.33773/jum.1136294

Abstract

References

  • [1] R. Abo-Zeid, On the Solutions of a Fourth Order Difference Equation, Universal Journal of Mathematics and Applications, 4 (2) (2021), 76-81.
  • [2] F. Bozkurt, Stability analysis of nonlinear difference equation, International Journal of Modern Nonlinear Theory and Application, 2 (1) (2013), 1-6.
  • [3] D. S. Dilip and S. M. Mathew, Dynamic of a second order nonlinear difference system with exponents, Journal of the Egyptian Mathematical Society, 29 (1) (2021), 1-10.
  • [4] R. Karatas, C. Cinar and D. Simsek, On the positive solutions of the Difference equation xn+1 = xn
  • [5] E. M. Elsayed and M. M. El-dessoky, Dynamics and global behavior for a fourth order rational difference equation, Hacettepe Journal of Mathematics and Statistics, 42 (5) (2013), 479-494.
  • [6] Q. Din, M. N. Qureshi and A. Q. Khan, Dynamic of Fourth- order system of rational difference equations, 2012 (2012): 215.
There are 6 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Nisreen Bukhary 0000-0001-7456-8545

Publication Date January 31, 2023
Submission Date June 27, 2022
Acceptance Date January 29, 2023
Published in Issue Year 2023 Volume: 6 Issue: 1

Cite

APA Bukhary, N. (2023). AN INVESTIGATION OF THE SOLUTIONS AND THE DYNAMIC BEHAVIOR OF SOME RATIONAL DIFFERENCE EQUATIONS. Journal of Universal Mathematics, 6(1), 55-80. https://doi.org/10.33773/jum.1136294
AMA Bukhary N. AN INVESTIGATION OF THE SOLUTIONS AND THE DYNAMIC BEHAVIOR OF SOME RATIONAL DIFFERENCE EQUATIONS. JUM. January 2023;6(1):55-80. doi:10.33773/jum.1136294
Chicago Bukhary, Nisreen. “AN INVESTIGATION OF THE SOLUTIONS AND THE DYNAMIC BEHAVIOR OF SOME RATIONAL DIFFERENCE EQUATIONS”. Journal of Universal Mathematics 6, no. 1 (January 2023): 55-80. https://doi.org/10.33773/jum.1136294.
EndNote Bukhary N (January 1, 2023) AN INVESTIGATION OF THE SOLUTIONS AND THE DYNAMIC BEHAVIOR OF SOME RATIONAL DIFFERENCE EQUATIONS. Journal of Universal Mathematics 6 1 55–80.
IEEE N. Bukhary, “AN INVESTIGATION OF THE SOLUTIONS AND THE DYNAMIC BEHAVIOR OF SOME RATIONAL DIFFERENCE EQUATIONS”, JUM, vol. 6, no. 1, pp. 55–80, 2023, doi: 10.33773/jum.1136294.
ISNAD Bukhary, Nisreen. “AN INVESTIGATION OF THE SOLUTIONS AND THE DYNAMIC BEHAVIOR OF SOME RATIONAL DIFFERENCE EQUATIONS”. Journal of Universal Mathematics 6/1 (January 2023), 55-80. https://doi.org/10.33773/jum.1136294.
JAMA Bukhary N. AN INVESTIGATION OF THE SOLUTIONS AND THE DYNAMIC BEHAVIOR OF SOME RATIONAL DIFFERENCE EQUATIONS. JUM. 2023;6:55–80.
MLA Bukhary, Nisreen. “AN INVESTIGATION OF THE SOLUTIONS AND THE DYNAMIC BEHAVIOR OF SOME RATIONAL DIFFERENCE EQUATIONS”. Journal of Universal Mathematics, vol. 6, no. 1, 2023, pp. 55-80, doi:10.33773/jum.1136294.
Vancouver Bukhary N. AN INVESTIGATION OF THE SOLUTIONS AND THE DYNAMIC BEHAVIOR OF SOME RATIONAL DIFFERENCE EQUATIONS. JUM. 2023;6(1):55-80.