Nonlinear Volterra integral equation of the second kind and biorthogonal systems (Q1957557)

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scientific article; zbMATH DE number 5791603
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Nonlinear Volterra integral equation of the second kind and biorthogonal systems
scientific article; zbMATH DE number 5791603

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    Nonlinear Volterra integral equation of the second kind and biorthogonal systems (English)
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    27 September 2010
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    Summary: We obtain an approximation of the solution of the nonlinear Volterra integral equation of the second kind, by means of a new method for its numerical resolution. The main tools used to establish it are the properties of a biorthogonal system in a Banach space and the Banach fixed point theorem.
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    nonlinear Volterra integral equation
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    second kind
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    biorthogonal system
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    Banach space
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    Banach fixed point theorem
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