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Positive solutions for a fourth order differential inclusion with boundary values - MaRDI portal

Positive solutions for a fourth order differential inclusion with boundary values (Q2792825)

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scientific article; zbMATH DE number 6555299
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Positive solutions for a fourth order differential inclusion with boundary values
scientific article; zbMATH DE number 6555299

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    Positive solutions for a fourth order differential inclusion with boundary values (English)
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    14 March 2016
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    existence of solutions
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    fourth order differential inclusion
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    fixed point
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    boundary value problem
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    Ascoli theorem
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    The paper provides an existence result for a fourth oder differential inclusion by a fixed point theorem on cones and an extension of the Ascoli theorem. The main theorem generalises a result of \textit{R. Ma} [Hiroshima Math. J. 33, No. 2, 217--227 (2003; Zbl 1048.34048)].NEWLINENEWLINERemark: In (1) of Theorem 1: \(u''''\) instead of \(u'''\) (fourth order differential inclusion).
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