Abstract

We give a statement of a multipoint boundary value problem on a geometric graph. The characteristics of the graph admitting such a statement are described. The form of the boundary value problem adjoint to the problem posed is found. An analog of the Keldysh residue theorem is obtained for the Green’s function of the spectral multipoint boundary value problem on the graph.

中文翻译：

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图上的多点边界值问题

摘要

我们给出几何图上的多点边值问题的陈述。描述了允许这种陈述的图的特征。找到了与所提出的问题相伴随的边值问题的形式。对于图上的谱多点边界值问题的格林函数，获得了凯尔迪什余数定理的模拟。