Semi-classical asymptotics of the vector Sturm-Liouville problem with parameters

被引：0

作者：

V. V. Kucherenko

机构：

[1] ESFM,Institúto Politécnico Nacional

来源：

Russian Journal of Mathematical Physics | 2007年 / 14卷

关键词：

Mathematical Physic; Asymptotic Expansion; Stationary Point; Asymptotic Solution; Phase Function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The vector Sturm-Liouville problem with parameters is considered. For the two-dimensional vector problem, a normal form with respect to the parameters is introduced. For this normal form, a modified “p-representation” is used to construct asymptotic solutions near turning points and to calculate the connection coefficients.

引用

页码：174 / 187

页数：13

共 50 条

[21] SPECTRAL ASYMPTOTICS FOR STURM-LIOUVILLE EQUATIONS
BENNEWITZ, C
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1989, 59 : 294 - 338
[22] Prufer angle asymptotics for Atkinson's semi-definite Sturm-Liouville eigenvalue problem
Binding, P
Volkmer, H
MATHEMATISCHE NACHRICHTEN, 2005, 278 (12-13) : 1458 - 1475
[23] Classical and quantum complexity of the Sturm-Liouville eigenvalue problem
Papageorgiou, A.
Wozniakowski, H.
QUANTUM INFORMATION PROCESSING, 2005, 4 (02) : 87 - 127
[24] Problem on the asymptotics of normalized eigenfunctions of the Sturm-Liouville operator on a finite interval
Aigunov, GA
RUSSIAN MATHEMATICAL SURVEYS, 1997, 52 (06) : 1283 - 1284
[25] Asymptotics of the eigenvalues of the indefinite Sturm-Liouville problem with two turning points
Tumanov, SN
RUSSIAN MATHEMATICAL SURVEYS, 2000, 55 (05) : 1007 - 1008
[26] Asymptotics of Fundamental Solutions to Sturm-Liouville Problem with Respect to Spectral Parameter
Vladykina, V. E.
MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2019, 74 (01) : 38 - 41
[27] Classical Equiconvergence Problem for the Sturm-Liouville Operator with a Singular Potential
I. V. Sadovnichaya
Differential Equations, 2019, 55 : 490 - 499
[28] Classical Equiconvergence Problem for the Sturm-Liouville Operator with a Singular Potential
Sadovnichaya, I. V.
DIFFERENTIAL EQUATIONS, 2019, 55 (04) : 490 - 499
[29] Sturm-Liouville theory, asymptotics, and the Schrodinger equation
Pearson, DB
SPECTRAL THEORY AND COMPUTATIONAL METHODS OF STURM-LIOUVILLE PROBLEMS, 1997, 191 : 301 - 312
[30] THE INVERSE STURM-LIOUVILLE PROBLEM
LEVINSON, N
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (07) : 693 - 693

← 1 2 3 4 5 →