Volterra integro-differential equations and infinite systems of ordinary differential equations (Q815319)
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scientific article; zbMATH DE number 5006994
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Volterra integro-differential equations and infinite systems of ordinary differential equations |
scientific article; zbMATH DE number 5006994 |
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Volterra integro-differential equations and infinite systems of ordinary differential equations (English)
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16 February 2006
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The authors develop the reduction method to establish a duality between finite-dimensional systems of integro-differential equations with the Hilbert-Schmidt kernel and countable systems of ordinary differential equations. This allows the use of known results for the countable systems of differential equations to study the properties of solutions of integro-differential equations.
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Volterra integro-differential equations
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infinite systems of ordinary differential equations
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reduction method
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systems
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Hilbert-Schmidt kernel
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