Periodic solutions of non-linear discrete Volterra equations with finite memory (Q977385)

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scientific article; zbMATH DE number 5724539
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Periodic solutions of non-linear discrete Volterra equations with finite memory
scientific article; zbMATH DE number 5724539

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    Periodic solutions of non-linear discrete Volterra equations with finite memory (English)
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    22 June 2010
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    This paper concerns the existence of periodic solutions to discrete nonlinear Volterra equations with memory. The first step is the study of discrete equations and the second one is devoted to consequences for quadrature methods applied to integral equations. The main results are obtained by using fixed-point results. The effect of weak singularities is also discussed.
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    discrete Volterra equations
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    finite memory
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    periodic solutions
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    fixed-point theroems
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    quadrature
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    weak singularities
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