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Boundedness of solutions for a class of second-order periodic systems (Q2015286)

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scientific article; zbMATH DE number 6306580
Language Label Description Also known as
English
Boundedness of solutions for a class of second-order periodic systems
scientific article; zbMATH DE number 6306580

    Statements

    title
    Boundedness of solutions for a class of second-order periodic systems (English)
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    author
    Shunjun Jiang
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    Yan Ding
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    publication date
    23 June 2014
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    review text
    Summary: We study the following second-order periodic system \[ x''+V'(x)+p(x,t)=0, \] where \(V(x)\) has a singularity. Under some assumptions on \(V(x)\) and \(p(x,t)\) by Ortega' small twist theorem, we obtain the existence of quasi-periodic solutions and boundedness of all the solutions.
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    zbMATH Keywords
    small twist theorem
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    quasi-periodic solutions
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    Identifiers

    DOI
    10.1155/2013/267572
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    Mathematics Subject Classification ID
    34C11
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    34C27
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    37E40
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    zbMATH DE Number
    6306580
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    Wikidata QID
    Q58915737
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    OpenAlex ID
    W2017883770
    0 references
     
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