Estimate of solutions for some Volterra difference equations (Q1570938)

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scientific article; zbMATH DE number 1472224
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Estimate of solutions for some Volterra difference equations
scientific article; zbMATH DE number 1472224

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    Estimate of solutions for some Volterra difference equations (English)
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    9 July 2000
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    The stability of the first approximation of some nonlinear Volterra difference equation \(x_j= f_j- \sum^J_{i= 0} a_{j-i} G_{ij}(x_j)\), \(j\geq 0\), using topological methods is obtained. Finally, using these results the bound on the solutions (which gives the error) is estimated.
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    error estimates
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    stability
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    nonlinear Volterra difference equation
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    topological methods
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