Expansions in Fadle-Papkovich functions in a strip. Theory foundations

被引：29

作者：

Kovalenko, M. D. ^{[1
]}

Shulyakovskaya, T. D. ^{[1
]}

机构：

[1] Russian Acad Sci, Schmidt Inst Phys Earth, Moscow 123995, Russia

来源：

MECHANICS OF SOLIDS | 2011年 / 46卷 / 05期

关键词：

Fadle-Papkovich functions; basis properties; boundary-value problem; REPRESENTING SYSTEMS;

D O I：

10.3103/S0025654411050074

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider a boundary-value problem of elasticity for a half-strip with free longitudinal sides and some conditions at the end. We present a general scheme for solving the problem in the form of explicit expansions in Fadle-Papkovich functions and study the basis properties of systems of Fadle-Papkovich functions. The theory is based on the Borel transform in the class of quasi-entire functions of exponential type.

引用

页码：721 / 738

页数：18

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