Regularity conditions for a pencil of general ordinary differential operators (Q1778263)
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scientific article; zbMATH DE number 2176615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity conditions for a pencil of general ordinary differential operators |
scientific article; zbMATH DE number 2176615 |
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Regularity conditions for a pencil of general ordinary differential operators (English)
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17 June 2005
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The author suggests new asymptotic formulas with respect to a parameter for solutions of ordinary linear differential equations under very weak smoothness conditions on the coefficients of the equation. He also gives a definition of regularity in terms of simple algebraic parameters of the pencil and obtains necessary conditions for regularity in terms of ``indices''.
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