Applications of the Moser's twist theorem to some impulsive differential equations (Q2006831)
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scientific article; zbMATH DE number 7259119
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Applications of the Moser's twist theorem to some impulsive differential equations |
scientific article; zbMATH DE number 7259119 |
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Applications of the Moser's twist theorem to some impulsive differential equations (English)
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12 October 2020
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The impulsive Duffing equation is studied. It is proved that all solutions are bounded for all time in the case of periodic coefficients and appropriate impulses. Also it is proved that there are many quasi-periodic solutions clustering at infinity. The investigations are based on the application of Moser's twist theorem.
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Lagrange stability
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boundedness
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quasi-periodic solution
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Moser's twist theorem
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impulsive Duffing equation
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