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Global existence of periodic travelling waves of an infinite non-linearly supported beam (Q1860538)

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scientific article; zbMATH DE number 1873389
Language Label Description Also known as
English
Global existence of periodic travelling waves of an infinite non-linearly supported beam
scientific article; zbMATH DE number 1873389

    Statements

    title
    Global existence of periodic travelling waves of an infinite non-linearly supported beam (English)
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    author
    Paolo Piccione
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    Stanislav D. Furta
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    publication date
    24 February 2003
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    review text
    The paper deals with problems of existence of periodic travelling wave solutions with non-small amplitudes of a PDE describing oscillations of an infinite beam, which lies on a nonlinearly elastic support. Such solutions are in fact critical points of a functional on a suitable functional space. By means of a minimax variational technique, the authors find a domain in the parameter space for which there exist periodic travelling waves of a certain fixed period.
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    zbMATH Keywords
    oscillations
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    beam
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    variational technique
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    periodic travelling waves
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    Identifiers

    Mathematics Subject Classification ID
    35Q72
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    74K10
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    35B10
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    zbMATH DE Number
    1873389
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