Periodic solutions of autonomous Newtonian systems partially asymptotically linear at infinity (Q439261)

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scientific article; zbMATH DE number 6062818
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Periodic solutions of autonomous Newtonian systems partially asymptotically linear at infinity
scientific article; zbMATH DE number 6062818

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    Periodic solutions of autonomous Newtonian systems partially asymptotically linear at infinity (English)
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    1 August 2012
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    The author studies the existence and multiplicity of periodic solutions to some Newtonian-type systems which are partially asymptotically linear at infinity. The method of proof involves the theory of topological degree for \(S^1\)-equivariant gradient maps. Some technical examples are provided at the end of the paper.
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    Newtonian equation
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    degree for equivariant maps
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