THE INVERSE STURM-LIOUVILLE PROBLEM WITH MIXED BOUNDARY CONDITIONS

被引：13

作者：

Korotyaev, E. ^{[1
]}

Chelkak, D. ^{[2
]}

机构：

[1] Cardiff Univ, Sch Math, Cardiff CF24 4AG, S Glam, Wales

[2] St Petersburg State Univ, Dept Math & Mech, St Petersburg 198504, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2010年 / 21卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

Inverse spectral theory; Sturm-Liouville operators; HARMONIC-OSCILLATOR;

D O I：

10.1090/S1061-0022-2010-01116-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H psi = -psi '' + q psi, psi(0) = 0, psi' (1) + b psi(1) = 0 be a selfadjoint Sturm-Lionville operator acting in L(2)(0,1). Let lambda(n)(q, b) and nu(n)(q, b) denote its eigenvalues and the so-called norming constants, respectively. A complete characterization of all spectral data ({lambda(n)}(n=0)(+infinity); {nu(n)}(n=0)(+infinity)) corresponding to (q; b) is an element of L(2)(0, 1) x R is given, together with a similar characterization for fixed b and a parametrization of isospectral manifolds.

引用

页码：761 / 778

页数：18

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