Approximation-solvability of Hammerstein equations (Q2774616)

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scientific article; zbMATH DE number 1711085
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Approximation-solvability of Hammerstein equations
scientific article; zbMATH DE number 1711085

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    26 February 2002
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    pseudo A-proper maps
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    surjectivity
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    elliptic equations
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    hyperbolic equations
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    Approximation-solvability of Hammerstein equations (English)
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    The author investigates the Hammerstein operator equation \(x-KFx=f\), where \(K\) is a linear and \(F\) is a nonlinear map. He studies this equation using the (pseudo) \(A\)-proper mapping approach and Brouwer degree theory. The obtained results are applied to the Hammerstein integral equation.
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