A nonlinear Volterra-Hammerstein integral equation in three variables (Q2923279)

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scientific article; zbMATH DE number 6356011
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A nonlinear Volterra-Hammerstein integral equation in three variables
scientific article; zbMATH DE number 6356011

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    15 October 2014
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    fixed point theorem of Krasnosel'skii type
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    Volterra-Hammerstein integral equation in three variables
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    contraction mapping
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    completely continuous
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    asymptotically stable solution
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    A nonlinear Volterra-Hammerstein integral equation in three variables (English)
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    The authors consider the nonlinear Volterra-Hammerstein integral equation in three variables. They establish existence of asymptotically stable solutions by using Krasnosel'skii's fixed point theorem and a condition for relative compactness.
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