Periodic solutions for second order differential equations (Q812781)
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scientific article; zbMATH DE number 5001496
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions for second order differential equations |
scientific article; zbMATH DE number 5001496 |
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Periodic solutions for second order differential equations (English)
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24 January 2006
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Consider the differential equation \[ (p(t)x')'+f(t,x)=0,\tag{*} \] where \(p\) and \(f\) are continuously differentiable and periodic in \(t\). The author proves the unique existence of a periodic solution to (*) unter Landesman-Lazer-type conditions.
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second-order differential equation
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existence and uniqueness
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period solution
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0.9873137
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0.9794602
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0.9786434
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