Araştırma Makalesi

On The Dynamics of a Nonlinear Difference Equation

Cilt: 9 Sayı: 1 28 Haziran 2019
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On The Dynamics of a Nonlinear Difference Equation

Öz

In this study we investigate the stability of solutions of difference equation xn+1 = xn-3xn-4 -1. Moreover, we study periodic and eventually periodic solutions of related difference equation.

Anahtar Kelimeler

Kaynakça

  1. [1] C.M. Kent, W. Kosmala, On the Nature of Solutions of the DifferenceEquation xn+1 = xnxn􀀀3 􀀀 1, International Journal of Nonlinear Analysisand Applications 2(2) (2011) 24-43.
  2. [2] C.M. Kent, W. Kosmala, M.A. Radin, S. Stevi´c, Solutions of the differ-ence equation xn+1 = xnxn􀀀1 􀀀 1, Abstr. Appl. Anal., 2010, pp. 1-13.doi:10.1155/2010/469683
  3. [3] C.M. Kent, W. Kosmala, S. Stevic, Long-term behavior of solutions of thedifference equation xn+1 = xn􀀀1xn􀀀2 􀀀 1, Abstr. Appl. Anal., 2010, pp.1-17. doi:10.1155/2010/152378
  4. [4] C.M. Kent, W. Kosmala, S. Stevic, On the difference equation xn+1 =xnxn􀀀2 􀀀 1, Abstr. Appl. Anal., 2011, pp. 1-15. doi:10.1155/2011/815285
  5. [5] E. Camouzis, G. Ladas, Dynamics of third order rational di¤erence equa-tions with open problems and conjectures, volume 5 of Advances in DiscreteMathematics and Applications, Chapman & Hall/CRC, Boca Raton, FL,2008.
  6. [6] E. Ta¸sdemir, Y. Soykan, On the Periodicies of the Difference Equationxn+1 = xnxn􀀀1 + , Karaelmas Science and Engineering Journal, 6(2)(2016), pp. 329-333.
  7. [7] E. Ta¸sdemir, Y. Soykan, Long-Term Behavior of Solutions of the Non-Linear Difference Equation xn+1 = xn􀀀1xn􀀀3􀀀1, Gen. Math. Notes, 38(1)(2017), pp. 13-31.
  8. [8] E. Ta¸sdemir, Y. Soykan, Stability of Negative Equilibrium of a Non-LinearDifference Equation, J. Math. Sci. Adv. Appl., 49(1) (2018), pp. 51-57.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

28 Haziran 2019

Gönderilme Tarihi

26 Haziran 2018

Kabul Tarihi

26 Mayıs 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 9 Sayı: 1

Kaynak Göster

APA
Taşdemir, E. (2019). On The Dynamics of a Nonlinear Difference Equation. Adıyaman University Journal of Science, 9(1), 190-201. https://izlik.org/JA38FN64MP
AMA
1.Taşdemir E. On The Dynamics of a Nonlinear Difference Equation. ADYU J SCI. 2019;9(1):190-201. https://izlik.org/JA38FN64MP
Chicago
Taşdemir, Erkan. 2019. “On The Dynamics of a Nonlinear Difference Equation”. Adıyaman University Journal of Science 9 (1): 190-201. https://izlik.org/JA38FN64MP.
EndNote
Taşdemir E (01 Haziran 2019) On The Dynamics of a Nonlinear Difference Equation. Adıyaman University Journal of Science 9 1 190–201.
IEEE
[1]E. Taşdemir, “On The Dynamics of a Nonlinear Difference Equation”, ADYU J SCI, c. 9, sy 1, ss. 190–201, Haz. 2019, [çevrimiçi]. Erişim adresi: https://izlik.org/JA38FN64MP
ISNAD
Taşdemir, Erkan. “On The Dynamics of a Nonlinear Difference Equation”. Adıyaman University Journal of Science 9/1 (01 Haziran 2019): 190-201. https://izlik.org/JA38FN64MP.
JAMA
1.Taşdemir E. On The Dynamics of a Nonlinear Difference Equation. ADYU J SCI. 2019;9:190–201.
MLA
Taşdemir, Erkan. “On The Dynamics of a Nonlinear Difference Equation”. Adıyaman University Journal of Science, c. 9, sy 1, Haziran 2019, ss. 190-01, https://izlik.org/JA38FN64MP.
Vancouver
1.Erkan Taşdemir. On The Dynamics of a Nonlinear Difference Equation. ADYU J SCI [Internet]. 01 Haziran 2019;9(1):190-201. Erişim adresi: https://izlik.org/JA38FN64MP