A Moiseev mean value formula for even-order differential operators with nonsmooth coefficients (Q2703935)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Moiseev mean value formula for even-order differential operators with nonsmooth coefficients |
scientific article |
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28 August 2002
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mean value formulas
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root functions of differential operators
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integral representations of solutions
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differential equations with a spectral parameter
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higher-order ordinary differential equations
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Moiseev formula
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even-order operator with nonsmooth coefficients
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A Moiseev mean value formula for even-order differential operators with nonsmooth coefficients (English)
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Mean value formulas for root functions of differential operators are integral representations of solutions of differential equations with a spectral parameter, which preserve basic characteristics of these equations. Moiseev has extended those formulas from self-adjoint problems to higher-order ordinary differential equations with smooth coefficients and a spectral parameter.NEWLINENEWLINENEWLINEUsing the method of E. I. Moiseev, the author derives a modification of the Moiseev formula for an even-order operator with nonsmooth coefficients, and gives some applications.
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