Exact solution of the biharmonic integral equation and its applications (Q2731091)
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scientific article; zbMATH DE number 1625535
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact solution of the biharmonic integral equation and its applications |
scientific article; zbMATH DE number 1625535 |
Statements
14 July 2002
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exact solution
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biharmonic integral equation
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inverse operator
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Exact solution of the biharmonic integral equation and its applications (English)
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This is a direct continuation of the earlier works of the author. Here, the integral equation NEWLINE\[NEWLINE(Lv)(Q)= \int_S\int R(Q,Q_0) v(Q_0) dS_{\theta_0} =W(Q),NEWLINE\]NEWLINE is considered where \(S\subset \mathbb{C}\) is a circular domain, \(R\) is the distance between two points. Using an integral representation for \(R\), he determines the inverse operator of \(L\). As an application, several particular situations are presented.
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