Construction of regular and singular Green's functions

被引：2

作者：

Wang, Aiping ^{[1
]}

Ridenhour, Jerry ^{[2
]}

Zettl, Anton ^{[3
]}

机构：

[1] Tianjin Univ Sci & Technol, Dept Math, Tianjin 300457, Peoples R China

[2] Univ No Iowa, Dept Math, Cedar Falls, IA 50614 USA

[3] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2012年 / 142卷 / 01期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1017/S0308210510001630

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Green function of singular limit-circle problems is constructed directly for the problem, not as a limit of sequences of regular Green's functions. This construction is used to obtain adjointness and self-adjointness conditions which are entirely analogous to the regular case. As an application, a new and explicit formula for the Green function of the classical Legendre problem is found.

引用

页码：171 / 198

页数：28

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