Degree computations for positively homogeneous differential equations (Q1882612)

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scientific article; zbMATH DE number 2105013
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Degree computations for positively homogeneous differential equations
scientific article; zbMATH DE number 2105013

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    Degree computations for positively homogeneous differential equations (English)
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    1 October 2004
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    The authors provide a method for the computation of the topological degree associated to some second-order ODEs with asymptotically positively homogeneous nonlinearities. Surprisingly enough, this degree can sometimes assume any negative value. The existence of periodic solutions can then be directly deduced.
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    periodic solutions
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    Brower degree
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