Boundedness of solutions of matrix nonlinear Volterra difference equations (Q659475)
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scientific article; zbMATH DE number 5999608
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness of solutions of matrix nonlinear Volterra difference equations |
scientific article; zbMATH DE number 5999608 |
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Boundedness of solutions of matrix nonlinear Volterra difference equations (English)
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23 January 2012
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Summary: Nonlinear discrete-time Volterra equations in a Euclidean space are considered. Conditions for the boundedness of solutions are established by virtue of recent estimates for the norm of the resolvent of Volterra operators. The conditions are formulated in the terms of coefficients of considered equations. In addition, estimates for the \(c_0\)- and \(l^2\)-norms of solutions are derived.
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Volterra difference equations
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boundedness
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estimates for solutions
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matrix
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