Boundary value problems for integro-differential equations of Barbashin type (Q1339756)
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scientific article; zbMATH DE number 700376
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary value problems for integro-differential equations of Barbashin type |
scientific article; zbMATH DE number 700376 |
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Boundary value problems for integro-differential equations of Barbashin type (English)
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8 December 1994
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The solvability of linear integro-differential equations of Barbashin type subject to appropriate boundary conditions is considered. A transformation of such equations to linear two-dimensional integral equations of the second kind is given. Applying a general fixed point principle in \(K\)-normed spaces general existence results are established. The considerations are illustrated by an application to the problem of radiation propagation in physical systems.
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\(K\)-normed spaces
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solvability
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linear integro-differential equations of Barbashin type
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fixed point principle
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existence
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radiation propagation
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