On the solvability of a class of analytic functions for certain linear systems of functional differential equations in a neighborhood of a regular singular point (Q677709)
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scientific article; zbMATH DE number 999692
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the solvability of a class of analytic functions for certain linear systems of functional differential equations in a neighborhood of a regular singular point |
scientific article; zbMATH DE number 999692 |
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On the solvability of a class of analytic functions for certain linear systems of functional differential equations in a neighborhood of a regular singular point (English)
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29 September 1997
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We study the Cauchy problem for a linear system of functional differential equations of neutral type in a neighborhood of a regular singularity with linear delay structure having no initial shift of the argument. In this case, for \(t=0\), the initial set consists of a single point. Conditions are given for a problem to have a solution in the class of analytic functions.
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Cauchy problem
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linear system of functional differential equations
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neutral type
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regular singularity
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linear delay
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analytic functions
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