On a problem with a boundary condition of the second kind, a complex-valued coefficient, and a spectral parameter in the other boundary condition

被引：1

作者：

Kapustin, N. Yu ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2014年 / 50卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

Spectral Parameter; Spectral Problem; Natural Vibration; Riesz Basis; Root Function;

D O I：

10.1134/S0012266114100140

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a classical problem that arises in the analysis of natural vibrations of a loaded string with a free endpoint. We assume that the coefficient occurring in the boundary condition of the third kind with a spectral parameter instead of a physical parameter can take complex values. We discuss the traditional aspects of the completeness, minimality, and basis property of the system of root functions. Special attention is paid to the structure of root subspaces.

引用

页码：1391 / 1394

页数：4

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