Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

The asymptotic behavior of a class of nonlinear delay difference equations

Author(s): Hassan Sedaghat; Wendi Wang
Journal: Proc. Amer. Math. Soc. 129 (2001), 1775-1783.
MSC (1991): Primary 39A10
Posted: November 21, 2000
MathSciNet review: 1814110
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Abstract:

The asymptotic behavior of difference equations of type $\begin{equation*}x_{n}=x_{n-1}^{p}[1+g(\sum_{i=1}^{m}f_{i}(x_{n-i}))],\quad p>0, \end{equation*}$ is studied, where and each $f_{i}$ are continuous real functions with decreasing and $f_{i}$ increasing. Results include sufficient conditions for permanence, oscillations and global attractivity.

References:

[1]: R.P. Agarwal, ``Difference Equations and Inequalities,'' Dekker, New York, 1992. MR 92m:39002
[2]: W.J. Baumol and E.N. Wolff, Feedback between R&D and productivity growth: A chaos model, in: J. Benhabib (ed.) ``Cycles and Chaos in Economic Equilibrium,'' Princeton University Press, Princeton, 1992.
[3]: V.L. Kocic and G. Ladas, ``Global Behavior of Nonlinear Difference Equations of Higher Order with Applications,'' Kluwer Academic, Boston, 1993. MR 94k:39005
[4]: J.P. LaSalle, ``The Stability and Control of Discrete Processes,'' Springer, New York, 1986. MR 87m:93001
[5]: H. Sedaghat, Effects of temporal heterogeniety in the Baumol-Wolff productivity growth model, Economic Theory, 15(2), 2000.

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