The continuous dependence of solutions to Volterra equations with locally contracting operators on parameters (Q619465)
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scientific article; zbMATH DE number 5840948
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The continuous dependence of solutions to Volterra equations with locally contracting operators on parameters |
scientific article; zbMATH DE number 5840948 |
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The continuous dependence of solutions to Volterra equations with locally contracting operators on parameters (English)
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25 January 2011
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A Volterra operator equation of general form is considered. The authors prove a few results concerning the local solvability of the mentioned Volterra equation and the continuous dependence of solutions on parameters involved in the equation. Furthermore, conditions guaranteeing the solvability of the Cauchy problem for a differential equation with delayed arguments are established.
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Volterra operators
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continuous dependence of solutions to equations on parameters
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locally contracting operators
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differential equations with delay
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