Asymptotic properties of solutions to second-order difference equations of Volterra type (Q1727021)
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scientific article; zbMATH DE number 7026523
| Language | Label | Description | Also known as |
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| English | Asymptotic properties of solutions to second-order difference equations of Volterra type |
scientific article; zbMATH DE number 7026523 |
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Asymptotic properties of solutions to second-order difference equations of Volterra type (English)
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20 February 2019
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Summary: We consider the discrete Volterra type equation of the form \(\Delta(r_n \Delta x_n) = b_n + \sum_{k = 1}^n K(n, k) f(x_k)\). We present sufficient conditions for the existence of solutions with prescribed asymptotic behavior. Moreover, we study the asymptotic behavior of solutions. We use \(\mathrm{o}(n^s)\), for given nonpositive real \(s\), as a measure of approximation.
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