Asymptotic behavior of solutions of Volterra difference equations with finite linear part (Q2763895)
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scientific article; zbMATH DE number 1693369
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of solutions of Volterra difference equations with finite linear part |
scientific article; zbMATH DE number 1693369 |
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25 April 2002
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asymptotic behaviour
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bounded solution
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nonlinear Volterra difference equation
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stability
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asymptotics
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0.94867194
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Asymptotic behavior of solutions of Volterra difference equations with finite linear part (English)
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For the solutions of the nonlinear Volterra difference equation NEWLINE\[NEWLINE\Delta x_n+ \sum^N_{m=0} a_{nm}x_{n-m} +f(n,x_{n_0}, \dots,x_n),\;n\geq n_0,NEWLINE\]NEWLINE with prescribed initial values \(x_{n_0-N}, \dots,x_{n_0}\) and \(f(n,0, \dots,0)=0\) boundedness and stability properties as well as asymptotic formulas are established.
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