Periodic solutions of nonautonomous ordinary differential equations (Q848876)
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scientific article; zbMATH DE number 5674285
| Language | Label | Description | Also known as |
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| English | Periodic solutions of nonautonomous ordinary differential equations |
scientific article; zbMATH DE number 5674285 |
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Periodic solutions of nonautonomous ordinary differential equations (English)
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23 February 2010
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The present paper deals with an \(n\)-th order nonautonomous ordinary differential equation and investigates the problem of the existence of a periodic solution with a prescribed period \(\omega\). Some more general sufficient conditions are established guaranteeing the existence and uniqueness of an \(\omega\)-periodic solution of a linear and a nonlinear ordinary differential equation with \(\omega\)-periodic coefficients.
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higher order ordinary differential equations
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periodic solution
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