Positive periodic solutions of first and second order ordinary differential equations (Q1766412)
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scientific article; zbMATH DE number 2141321
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive periodic solutions of first and second order ordinary differential equations |
scientific article; zbMATH DE number 2141321 |
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Positive periodic solutions of first and second order ordinary differential equations (English)
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7 March 2005
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The paper deals with the existence of positive \(\omega\)-periodic solutions of the second-order differential equation \[ -u^{\prime \prime}(t) = f(t,u(t)), \quad t \in \mathbb{R}, \] as well as first-order ordinary differential equations. The main tool is the fixed-point index theory in cones.
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positive periodic solution
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cone
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fixed-point index
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0.97466373
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0.9744311
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0.9710692
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