Polyharmonic Functions in Structures of Exact Solutions in the Elasticity Theory

被引：0

作者：

Ryabenkov, N. G. ^{[1
]}

机构：

[1] Kazan State Power Engn Univ, 51 Krasnosel Skaya Str, Kazan 420066, Russia

来源：

RUSSIAN MATHEMATICS | 2013年 / 57卷 / 07期

关键词：

elasticity theory; exact solutions; polyharmonic functions;

D O I：

10.3103/S1066369X13070049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce an asymptotic algorithm that allows us to construct both approximate and exact solutions to a set of equations in the linear elasticity theory. The exact solutions are expressed by polynomials in one of coordinates, while their coefficients include polyharmonic functions that depend on two other coordinates. For the sake of ordering of solutions, one can associate every exact solution with the number of the asymptotic approximation.

引用

页码：39 / 44

页数：6