On the number of zeros of solutions of a linear differential equation (Q1269578)
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scientific article; zbMATH DE number 1215651
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the number of zeros of solutions of a linear differential equation |
scientific article; zbMATH DE number 1215651 |
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On the number of zeros of solutions of a linear differential equation (English)
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18 May 1999
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By certain separation and comparison results, estimates for the zeros of solutions to \(n\)th-order linear differential equations are deduced. It is proved that these estimates are in any possible case the sharpest ones, and they generalize known results for the zeros of solutions to third- and fourth-order linear differential equations.
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number of zeros
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zero-component of solution
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\(n\)th-order linear differential equations
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