Multiplicity of periodic solution with prescribed energy to singular dynamical systems (Q1803495)
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scientific article; zbMATH DE number 220982
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicity of periodic solution with prescribed energy to singular dynamical systems |
scientific article; zbMATH DE number 220982 |
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Multiplicity of periodic solution with prescribed energy to singular dynamical systems (English)
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29 June 1993
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Using the appropriate homotopical (pseudo-)index technique, multiplicity results are obtained on the existence of periodic solutions with prescribed energy for a class of dynamical systems with singular potentials. Both the cases, i.e. those of strong as well as of weak forces related to the given potential, are separately treated. The noncollision solutions, when the singularity is not crossed, are taken into account.
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singular Hamiltonian systems
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critical point theory
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homotopical index
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multiplicity
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periodic solutions
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singular potentials
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noncollision solutions
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