On continuity and compactness of some nonlinear operators in the spaces of functions of bounded variation (Q325935)

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scientific article; zbMATH DE number 6637344
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On continuity and compactness of some nonlinear operators in the spaces of functions of bounded variation
scientific article; zbMATH DE number 6637344

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    On continuity and compactness of some nonlinear operators in the spaces of functions of bounded variation (English)
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    11 October 2016
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    acting condition
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    Aronszajn-type theorem
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    autonomous (nonautonomous) superposition operator
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    Bernstein polynomials
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    compact operator
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    Hammerstein integral equation
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    linear integral operator
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    locally bounded mapping
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    modulus of continuity
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    \(p\)-variation
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    positive solution
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    \(R_\delta\)-set
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    variation in the sense of Jordan
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    Volterra-Hammerstein integral equation
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    \(\phi\)-function
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    \(\phi\)-variation
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