Characterization of the spectrum of regular boundary value problems for the Sturm-Liouville operator

被引：4

作者：

Makin, A. S. ^{[1
]}

机构：

[1] Moscow State Univ Inst Engn & Comp Sci, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2008年 / 44卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Complex Number; Entire Function; Asymptotic Formula; Spectral Problem; Exponential Type;

D O I：

10.1134/S0012266108030051

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the interval (0, pi), we consider the spectral problem generated by the Sturm-Liouville equation with an arbitrary complex-valued potential q(x) epsilon L-2(0, pi) and with regular (but not strengthened-regular) boundary conditions. Under certain additional assumptions, we establish necessary and sufficient conditions for a set of complex numbers to be the spectrum of such an operator.

引用

页码：341 / 348

页数：8

共 8 条

[1]

[Anonymous], 1969, LINEINYE DIFFERENTSI

[2]

Evgrafov M.A, 1979, ASIMPTOTICHESKIE OTS

[3] SPECTRAL THEORY OF 2-POINT DIFFERENTIAL-OPERATORS DETERMINED BY -D2 .2. ANALYSIS OF CASES [J].

LANG, P ;

LOCKER, J .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 146 (01) :148-191

[4]

LAVRENTEV MA, 1973, METODY TEORII FUNKTS

[5]

MAKIN AS, 2007, INT C AN SING MOSC R, P161

[6]

Nikolskii S. M., 1977, PRIBLIZHENIE FUNKTSI

[7]

Sansuc JJ., 1997, New Results Oper. Theory Appl, V98, P216, DOI [10.1007/978-3-0348-8910-0_16, DOI 10.1007/978-3-0348-8910-0_16]

[8]

[No title captured]

← 1 →