Araştırma Makalesi
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AN INVESTIGATION OF THE SOLUTIONS AND THE DYNAMIC BEHAVIOR OF SOME RATIONAL DIFFERENCE EQUATIONS

Yıl 2023, , 55 - 80, 31.01.2023
https://doi.org/10.33773/jum.1136294

Öz

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.

Destekleyen Kurum

King Abdulaziz universitylaziz

Kaynakça

  • [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.
Yıl 2023, , 55 - 80, 31.01.2023
https://doi.org/10.33773/jum.1136294

Öz

Kaynakça

  • [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.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Nisreen Bukhary 0000-0001-7456-8545

Yayımlanma Tarihi 31 Ocak 2023
Gönderilme Tarihi 27 Haziran 2022
Kabul Tarihi 29 Ocak 2023
Yayımlandığı Sayı Yıl 2023

Kaynak Göster

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. Ocak 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, sy. 1 (Ocak 2023): 55-80. https://doi.org/10.33773/jum.1136294.
EndNote Bukhary N (01 Ocak 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, c. 6, sy. 1, ss. 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 (Ocak 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, c. 6, sy. 1, 2023, ss. 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.