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Exact Solution of the Biharmonic Integral Equation and its Applications

✍ Scribed by V.I. Fabrikant

Publisher: John Wiley and Sons
Year: 2001
Tongue: English
Weight: 146 KB
Volume: 81
Category: Article
ISSN: 0044-2267
DOI: 10.1002/1521-4001(200105)81:5<325::aid-zamm325>3.0.co;2-l

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✦ Synopsis

Exact Solution of the Biharmonic Integral Equation and its Applications

A new type of integral equation, which is called here biharmonic, is studied in detail. An exact closed form solution is obtained for a circular domain by using a new integral representation for a distance between two points, combined with the properties of the Abel type integrals and the l-operators, introduced by the author earlier. Necessary and sufficient conditions are established for the existence of an integrable solution in the case of a circular domain. The results are illustrated by several examples.

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