Existence of non-collision periodic solutions for second order singular dynamical systems (Q1959007)
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scientific article; zbMATH DE number 5794102
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of non-collision periodic solutions for second order singular dynamical systems |
scientific article; zbMATH DE number 5794102 |
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Existence of non-collision periodic solutions for second order singular dynamical systems (English)
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1 October 2010
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The author studies the existence of periodic solutions for a system of the type \[ \ddot x + a(t) x = f(t,x) + e(t) \] when the nonlinearity has a singularity of repulsive type in the origin. The assumptions in the main theorem are rather involved, but some interesting examples of applications are given.
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non-collision periodic solution
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strong singularity
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weak singularity
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