Notes on the stability of dynamic economic systems. (Q1569161)
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scientific article; zbMATH DE number 1464505
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Notes on the stability of dynamic economic systems. |
scientific article; zbMATH DE number 1464505 |
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Notes on the stability of dynamic economic systems. (English)
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25 June 2000
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In the note the stability of an equilibrium of discrete dynamical systems \[ x\to g(x),\quad x,g(x)\in S\subseteq\mathbb R^n \] is studied. It is shown that the slightly relaxed versions of the well known sufficient conditions of the Lyapunov stability, asymptotic or global asymptotic stability based on the method of Lyapunov functions are also necessary.
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Lyapunov function
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Lyapunov stability
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discrete dynamical systems
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global stability
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asymptotic stability
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