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

Year 2023, , 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, , 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

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.