Periodic solutions for a class of nonautonomous second-order systems (Q1877791)
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scientific article; zbMATH DE number 2092935
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions for a class of nonautonomous second-order systems |
scientific article; zbMATH DE number 2092935 |
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Periodic solutions for a class of nonautonomous second-order systems (English)
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19 August 2004
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The existence of periodic solutions of the nonautonomous second-order system \(\ddot{u}=\nabla F(t,u(t))\), \(t\in [0,T]\), subject to the periodicity conditions \(u(0)-u(T)=\dot{u}(0)-\dot{u}(T)=0\), is investigated. Proofs use the least action principle.
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ordinary differential equations
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periodic solutions
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least action principle
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