Generalized analytic integrability of a class of polynomial differential systems in \(\mathbb{C}^2\) (Q2043325)
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scientific article; zbMATH DE number 7376836
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized analytic integrability of a class of polynomial differential systems in \(\mathbb{C}^2\) |
scientific article; zbMATH DE number 7376836 |
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Generalized analytic integrability of a class of polynomial differential systems in \(\mathbb{C}^2\) (English)
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30 July 2021
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The paper is focused on two-dimensional autonomous complex polynomial ordinary differential systems with separable variables. Necessary and sufficient conditions for the existence of a first autonomous integral in the classes of generalized analytic and polynomial functions are obtained. Some examples are given and discussed.
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differential systems
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separable variables
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first autonomous integral
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generalized analytic function
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