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Article

Graef, J. R. ; Qian, C.
Global attractivity of the equilibrium of a nonlinear difference equation. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 4, pp. 757-769
MSC: 37N25, 39A10, 39A11, 39A12, 92D25 | MR 1940057 | Zbl 1014.39003
Keywords:
nonlinear difference equation; global attractivity; oscillation
Summary:

References:
[1] J. R. Graef and C.  Qian: Global stability in a nonlinear difference equation. J.  Differ. Equations Appl. 5 (1999), 251–270. MR 1697059
[2] A. F. Ivanov: On global stability in a nonlinear discrete model. Nonlinear Anal. 23 (1994), 1383–1389. MR 1306677 | Zbl 0842.39005
[3] G. Karakostas, Ch. G. Philos and Y. G. Sficas: The dynamics of some discrete population models. Nonlinear Anal. 17 (1991), 1069–1084. MR 1136230
[4] V. L. Kocic and G. Ladas: Global Behavior of Nonlinear Difference Equations of Higher Order with Applications. Kluwer Academic Publishers, Dordrecht, 1993. MR 1247956
[5] M. C. Mackey and L. Glass: Oscillation and chaos in physiological control systems. Science 197 (1977), 287–289.
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