SOLUTION OF A CLASS OF INVERSE BOUNDARY-VALUE STURM-LIOUVILLE PROBLEMS

被引：16

作者：

GUSEINOV, IM

NABIEV, IM

机构：

来源：

SBORNIK MATHEMATICS | 1995年 / 186卷 / 5-6期

关键词：

D O I：

10.1070/SM1995v186n05ABEH000035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A complete solution of a class of inverse problems in spectral analysis for the Sturm-Liouville operator is presented. That is, (a) Necessary and sufficient conditions are found for two sequences of real numbers to be spectra of boundary-value problems generated on a finite interval by a Sturm-Liouville equation and certain non-separated self-conjugate boundary conditions. A procedure for recovery of all such problems is given. (b) Additional spectral characteristics are found which together with the spectra uniquely define the Sturm-Liouville operator.

引用

页码：661 / 674

页数：14

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