On nonautonomous discrete dynamical systems driven by means
<p/> <p>We investigate the asymptotic behavior of nonautonomous discrete dynamical systems governed by the system of difference equations (recursive equations): <it>y</it><sub><it>j</it></sub>(<it>n</it>+1) = <it>F</it><sub&g...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2006-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2006/043470 |
| Summary: | <p/> <p>We investigate the asymptotic behavior of nonautonomous discrete dynamical systems governed by the system of difference equations (recursive equations): <it>y</it><sub><it>j</it></sub>(<it>n</it>+1) = <it>F</it><sub><it>j</it></sub>(<it>n</it>,<b>y</b>,(<it>n</it>)); <it>j</it> = 1,...,<it>k</it>, <it>n</it> = 0,1,2,..., where <b>y</b>(<it>n</it>) = (<it>y</it><sub>1</sub>(<it>n</it>),...,<it>y</it><sub><it>k</it></sub>(<it>n</it>)) ∈ ℝ<sup><it>k</it></sup>, <b>y</b>(0) = <b>x</b>, and <it>F</it><sub><it>j</it></sub>(<it>n</it>,·) is a mean of <it>k</it> (≥ 2) positive real numbers, that is, a real-valued function satisfying the internality property min(<b>x</b>) ≤ <it>F</it><sub><it>j</it></sub>(<it>n</it>,<b>x</b>) ≤ max(<b>x</b>).</p> |
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| ISSN: | 1687-1839 1687-1847 |