Exact solution of the biharmonic integral equation and its applications

被引：0

作者：

Fabrikant, VI ^{[1
]}

机构：

[1] Cowansville Jail, Cowansville, PQ J2K 3N7, Canada

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2001年 / 81卷 / 05期

关键词：

D O I：

10.1002/1521-4001(200105)81:5<325::AID-ZAMM325>3.0.CO;2-L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 example.

引用

页码：325 / 336

页数：12

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