Global asymptotic stability of a system of two nonlinear difference equations

• Autorzy: Yalcinkaya I. , Çinar C.
• Języki publikacji: EN

Abstrakty

EN

In this paper a sufficient condition is obtained for the global asmptotic stability of the following system of difference equations ...[wzór] where the parameter aε(0,∞) and the initial values (z_k, t_k)ε(0, ∞) (for k = -1, 0).

Słowa kluczowe

EN

rational difference equation; system; semicycle; global asymptotic stability; equilibrium point

PL

stabilność asymptotyczna; punkty równowagi

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2010
• Tom: Nr 43
• Strony: 171--180
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Yalcinkaya I.

autor

Çinar C.

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

Bibliografia

• [1] Abu-Saris R., Cinar C., Yalcinkaya I., On the asymptotic stability of xn+1 = (xnxn−k+a)/(xn+xn−k), Computers Mathematics with Applications, 56(5)(2008), 1172-1175.
• [2] De Vault R., Ladas G., Schultz S.W., On the recursive sequence xn+1 = A/xn + 1/xn−2, Proc. Amer. Math. Soc., 126(11)(1998), 3257-3261.
• [3] Kulenovic M.R.S., Discrete Dynamical Systems and Difference Equations with Mathematica, ACRC Press Company, 2002.
• [4] Li X., Zhu D., Global asymptotic stability in a rational equation, J. Diff. Equations Appl., 9(2003), 833-839.
• [5] Papaschinopoluos G., Schinas C.J., On a system of two nonlinear difference equations, J. Math. Anal. Appl., 219(1998), 415-426.
• [6] Papaschinopoluos G., Schinas C.J., On the behavior of the solutions of a system of two nonlinear difference equations, Communications on Applied Nonlinear Analysis, 5(1998), 47-59.
• [7] Papaschinopoluos G., Schinas C.J., Stefanidou G., On a k-order system of lyness-type difference equations, Advances in Difference Equations, (2007), Article ID 31272, 13 pages.
• [8] Yalcinkaya I., Cinar C., Simsek D., Global asymptotic stability of a system of difference equations, Applicable Analysis, 87(6)(2008), 689-699.