On the uniform convergence of the Fourier series for a spectral problem with squared spectral parameter in a boundary condition

被引：22

作者：

Kapustin, N. Yu. ^{[1
]}

机构：

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

来源：

DIFFERENTIAL EQUATIONS | 2010年 / 46卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

Differential Equation; Fourier Series; Spectral Parameter; Uniform Convergence; Spectral Problem;

D O I：

10.1134/S0012266110100150

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyze the uniform convergence of the Fourier series expansions of Holder functions in the system of eigenfunctions of a spectral problem with squared spectral parameter in a boundary condition. To this end, we first prove a theorem on the equiconvergence of such expansions with those in a well-known orthonormal basis.

引用

页码：1507 / 1510

页数：4