On the existence of periodic solutions of a system of second-order ordinary differential equations with a quasihomogeneous nonlinearity (Q6608008)
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scientific article; zbMATH DE number 7915888
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of periodic solutions of a system of second-order ordinary differential equations with a quasihomogeneous nonlinearity |
scientific article; zbMATH DE number 7915888 |
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On the existence of periodic solutions of a system of second-order ordinary differential equations with a quasihomogeneous nonlinearity (English)
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19 September 2024
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In the paper, the authors study the existence of periodic solutions of a given period for a system of second-order ordinary differential equations with a quasihomogeneous nonlinearity by establishing an a priori estimate for periodic solutions and calculating the mapping degree of vector fields.
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quasihomogeneous nonlinearity
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perturbation
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periodic solution
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a priori estimate
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vector field mapping degree
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