DIRICHLET-NEUMANN BRACKETING FOR BOUNDARY-VALUE PROBLEMS ON GRAPHS

被引：0
|
作者：
Currie, Sonja [1 ]
Watson, Bruce A. [1 ]
机构：
[1] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年
基金：
新加坡国家研究基金会;
关键词：
Differential operators; spectrum; graphs;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the spectral structure of second order boundary-value problems on graphs. A variational formulation for boundary-value problems on graphs is given. As a consequence we can formulate an analogue of Dirichlet-Neumann bracketing for boundary-value problems on graphs. This in turn gives rise to eigenvalue and eigenfunction asymptotic approximations.
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页数：11
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