On solvability of three spectra problem

被引：8

作者：

Boyko, Olga ^{[1
]}

Pivovarchik, Vyacheslav ^{[1
]}

Yang, Chuan Fu ^{[2
]}

机构：

[1] South Ukrainian Natl Pedag Univ, Staroportofrankovskaya Str 26, UA-65020 Odessa, Ukraine

[2] Nanjing Univ Sci & Technol, Sch Sci, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2016年 / 289卷 / 14-15期

基金：

中国国家自然科学基金;

关键词：

Sturm-Liouville equation; Dirichlet boundary condition; Neumann boundary condition; Marchenko equation; Lagrange interpolation series; sine-type function; Nevanlinna function; 34A55; 34B20; 34L05; 34L40; STURM-LIOUVILLE PROBLEM; INVERSE; RECONSTRUCTION;

D O I：

10.1002/mana.201400382

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Three spectral problems generated by the same Sturm-Liouville equation are considered: Neumann-Dirichlet problem (the Neumann condition at the left end and the Dirichlet condition at the right end) on the whole interval [0, a], Neumann-Dirichlet problem on [0,a/2] and Dirichlet-Dirichlet problem on [a/2,a]. The three spectra inverse problem, i.e. the problem of recovering the Sturm-Liuville equation using the three spectra of these boundary value problems is completely solved.

引用

页码：1727 / 1738

页数：12

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