On a trivial monodromy criterion for the Sturm-Liouville equation

被引：15

作者：

Ishkin, Kh K. ^{[1
]}

机构：

[1] Bashkir State Univ, Ufa 450074, Russia

来源：

MATHEMATICAL NOTES | 2013年 / 94卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

Sturm-Liouville equation; monodromy-free potential; meromorphic function; monodromy matrix; Sokhotskii-Plemelj formula; Gronwall inequality; Hardy class;

D O I：

10.1134/S0001434613090216

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a necessary and sufficient condition for the equation -y ''(z) + q(z)y(z) = lambda y(z) to be monodromy-free; here z is an element of gamma and gamma is a piecewise smooth curve which is the boundary of a convex bounded domain.

引用

页码：508 / 523

页数：16

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