On the dynamics of the difference equation x_n+1 = ...[wzór]

• Autorzy: Yalçinkaya ĺ. , Çinar C.
• Języki publikacji: EN

Abstrakty

EN

This paper studies the global behavior of the difference equation x_n+1 = ...[wzór], n = 0, 1, 2, ... with non-negative parameters and non-negative initial conditions where k is an odd number.

Słowa kluczowe

EN

difference equation; global asymptotic stability; oscillation; oscylacja; semicycles; Period (k+1) solutions

PL

równanie różnicowe; stabilność asymptotyczna

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2009
• Tom: Nr 42
• Strony: 141--148
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Yalçinkaya ĺ.

autor

Çinar C.

• Selcuk University Education Faculty, Mathematics Department 42090, Meram Yeni Yol, Konya, Turkiye,

Bibliografia

• [1] Amleh A.M., Kirk V., Ladas G., On the dynamics of xn+1 = ...[wzór], Math. Sci. Res. Hot-Line, 5(2001), 1-15.
• [2] El-Owaidy H.M., Ahmed A.M., Youssef A.M., The dynamics of the recursive sequence xn+1 = ...[wzór], Applied Mathematics Letters, 18(2005), 1013-1018.
• [3] El-Owaidy H.M., Ahmed A.M., Mousa M.S., On the recursive sequences xn+1 = ...[wzór], J. Appl. Math. Comput., 145(2003), 747- 753.
• [4] El-Owaidy H.M., Ahmed A.M., Elsady Z., Global attractivity of the recursive sequence xn+1 = ...[wzór], J. Appl. Math. Comput., 151(2004), 827-833. βϒ
• [5] Gibbons C., Kulevonic M.R.S., Ladas G., On the dynamics of the recursive sequence yn+1 = ...[wzór], Math. Sci. Res. Hot-Line, 4(2000), 1-11.
• [6] Kocic V.L., Ladas G., Global Behaviour of Nonlinear Difference Equations of High Order with Applications, Kluwer Academic, Dordrecht 1993.
• [7] Kocic V.L., Ladas G., Rodrigues I., On the rational recursive sequences, J. Math. Anal. Appl., 173(1993), 127-157.
• [8] Kulenovic M.R.S., Merino O., Discrete Dynamical Systems and Difference Equations with Mathematica, Chapman & Hall / CRC Press, Boca Raton / London 2002.
• [9] Yang X., Chen B., Megson G.M., Evans D.J., Global attractivity in a recursive sequence, Applied Mathematics and Computation, 158(2004), 667-682.