Ergodic type solutions of some differential equations (Q2754437)
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scientific article; zbMATH DE number 1671077
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ergodic type solutions of some differential equations |
scientific article; zbMATH DE number 1671077 |
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15 October 2002
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almost-periodic solutions
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ergodic solutions
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Ergodic type solutions of some differential equations (English)
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A function \(f \in L({\mathbb{R}},{\mathbb{R}}^d)\) is said to be ergodic if the limit NEWLINE\[NEWLINE \lim_{T \to \infty} \frac{1}{2T} \int_{-T}^T f(t) dt = M(f) NEWLINE\]NEWLINE exists. E.g., almost-periodic functions are ergodic. The existence of ergodic solutions to differential equations is of practical importance. This summary contains results on the existence of ergodic solutions.NEWLINENEWLINEFor the entire collection see [Zbl 0961.00018].
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