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.
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页码：171 / 198
页数：28
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