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

[1] Semi-classical asymptotics of the vector Sturm-Liouville problem with parameters
Kucherenko, V. V.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2007, 14 (02) : 174 - 187
[2] Semiclassical asymptotics of the vector Sturm-Liouville problem
Kryvko, A.
Kucherenko, V. V.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2006, 13 (02) : 188 - 202
[3] Semiclassical asymptotics of the vector Sturm-Liouville problem
A. Kryvko
V. V. Kucherenko
Russian Journal of Mathematical Physics, 2006, 13 : 188 - 202
[4] Asymptotics of the eigenvalues of Sturm-Liouville problem
T. N. Harutyunyan
Journal of Contemporary Mathematical Analysis, 2016, 51 : 173 - 181
[5] Asymptotics of the Eigenvalues of Sturm-Liouville Problem
Harutyunyan, T. N.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2016, 51 (04): : 173 - 181
[6] SHARP ASYMPTOTICS IN A FRACTIONAL STURM-LIOUVILLE PROBLEM
Chigansky, Pavel
Kleptsyna, Marina
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021, 24 (03) : 715 - 738
[7] STURM-LIOUVILLE PROBLEM WITH IRREGULAR ASYMPTOTICS OF EIGENVALUES
BOROVIKOV, VA
MATHEMATICAL NOTES, 1991, 50 (5-6) : 1243 - 1249
[8] Semiclassical asymptotics of the matrix Sturm-Liouville problem
Krivko, A. V.
Kucherenko, V. V.
MATHEMATICAL NOTES, 2006, 80 (1-2) : 136 - 140
[9] Asymptotics of the eigenvalues of an indefinite Sturm-Liouville problem
A. V. Dyachenko
Mathematical Notes, 2000, 68 (1) : 120 - 124
[10] Semiclassical asymptotics of the Matrix Sturm-Liouville problem
A. V. Krivko
V. V. Kucherenko
Mathematical Notes, 2006, 80 : 136 - 140

← 1 2 3 4 5 →