On the relationship between solutions of delay differential equations and infinite-dimensional systems of differential equations (Q731593)
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scientific article; zbMATH DE number 5611119
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the relationship between solutions of delay differential equations and infinite-dimensional systems of differential equations |
scientific article; zbMATH DE number 5611119 |
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On the relationship between solutions of delay differential equations and infinite-dimensional systems of differential equations (English)
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8 October 2009
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The authors consider an infinite dimensional system of ordinary differential equations and prove that the sequence of functions, formed by the last components of the solutions of this system, converges to the solution of the delay differential equation. Some properties of the limit functions, as well as some estimates for the convergence rate, are also given.
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delay differential equation
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infinite-dimensional system
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convergence of solutions
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