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] C.M. Kent, W. Kosmala, On the Nature of Solutions of the DifferenceEquation xn+1 = xnxn3 1, International Journal of Nonlinear Analysisand Applications 2(2) (2011) 24-43.
- [2] C.M. Kent, W. Kosmala, M.A. Radin, S. Stevi´c, Solutions of the differ-ence equation xn+1 = xnxn1 1, Abstr. Appl. Anal., 2010, pp. 1-13.doi:10.1155/2010/469683
- [3] C.M. Kent, W. Kosmala, S. Stevic, Long-term behavior of solutions of thedifference equation xn+1 = xn1xn2 1, Abstr. Appl. Anal., 2010, pp.1-17. doi:10.1155/2010/152378
- [4] C.M. Kent, W. Kosmala, S. Stevic, On the difference equation xn+1 =xnxn2 1, Abstr. Appl. Anal., 2011, pp. 1-15. doi:10.1155/2011/815285
- [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] E. Ta¸sdemir, Y. Soykan, On the Periodicies of the Difference Equationxn+1 = xnxn1 + , Karaelmas Science and Engineering Journal, 6(2)(2016), pp. 329-333.
- [7] E. Ta¸sdemir, Y. Soykan, Long-Term Behavior of Solutions of the Non-Linear Difference Equation xn+1 = xn1xn31, Gen. Math. Notes, 38(1)(2017), pp. 13-31.
- [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
Erkan Taşdemir
*
Türkiye
Yayımlanma Tarihi
28 Haziran 2019
Gönderilme Tarihi
26 Haziran 2018
Kabul Tarihi
26 Mayıs 2019
Yayımlandığı Sayı
Yıl 2019 Cilt: 9 Sayı: 1