On some classes of integro-differential equations on the half-line and related operator functions (Q2837775)
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scientific article; zbMATH DE number 6187013
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some classes of integro-differential equations on the half-line and related operator functions |
scientific article; zbMATH DE number 6187013 |
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On some classes of integro-differential equations on the half-line and related operator functions (English)
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11 July 2013
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integro-differential equation
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operator function
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exponential solution
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Integro-differential equations on the half line with unbounded operator coefficients are studied. Their symbols are polynomial operator pencils perturbed by operator functions holomorphic in the left-half plane. Results concerning the Fredholm property of the initial-boundary value problems associated with these equations and the properties of their exponential solutions are established. Some properties of the derived chains constructed from the root vectors of the operator functions that are symbols of these equations are established.
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