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
收藏
页码：325 / 336
页数：12
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