Periodic solution for second order damped differential equations with attractive-repulsive singularities (Q1657767)
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scientific article; zbMATH DE number 6917345
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solution for second order damped differential equations with attractive-repulsive singularities |
scientific article; zbMATH DE number 6917345 |
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Periodic solution for second order damped differential equations with attractive-repulsive singularities (English)
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14 August 2018
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The authors investigate the existence of a positive periodic solutions for second-order nonlinear differential equations with attractive-repulsive singularities. A typical model is \[ x''=\frac {g(t)}{u^{\kappa_1}}-\frac {h(t)}{u^{\kappa_2}}=f(t). \] By using the properties of Green's function and Schauder's fixed point theorem, they show the existence of positive periodic solutions.
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second order differential equation
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positive periodic solution
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attractive-repulsive singularities
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Schauder's fixed point theorem.
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