A generalization of the Carleman equation, solved in explicit form, and its application in plate bending theory (Q1821998)
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scientific article; zbMATH DE number 4000695
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of the Carleman equation, solved in explicit form, and its application in plate bending theory |
scientific article; zbMATH DE number 4000695 |
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A generalization of the Carleman equation, solved in explicit form, and its application in plate bending theory (English)
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1986
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The authors give a scheme for the construction in explicit form by the method of analytic continuation of the solution of a singular integral equation on the segment [\(\alpha\),\(\beta\) ]. Its kernel contains the terms \((t-x)^{-1}\), V(t-x), ln \(| t-x| U(t-x)\), sign(t-x)U(t- x), where U, V are polynomials.
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Carleman equation
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explicit form
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analytic continuation
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