Necessary and sufficient condition for the positivity of the Green function of a boundary value problem for a fourth-order equation on a graph

被引：0
作者：
R. Ch. Kulaev
机构：
[1] Russian Academy of Sciences,South Mathematical Institute, Vladikavkaz Scientific Center
[2] North-Ossetian State University,undefined
来源：
Differential Equations | 2015年 / 51卷
关键词：
Green Function; Nontrivial Solution; Homogeneous Equation; Transmission Condition; Boundary Edge;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the sign properties of the Green function of a boundary value problem for a fourth-order equation on a graph. We obtain necessary and sufficient conditions for the positivity of the Green function. The conditions are stated in terms of the properties of a uniquely determined system of solutions of the equation on the graph, which permits one to verify them by computer methods.
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页码：303 / 317
页数：14
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