On connection formulas for asymptotic expansions for some special solutions of the fifth painlevé equation

被引：0

作者：

Andreev F.V.

Kitaev A.V.

机构：

来源：

Journal of Mathematical Sciences | 2000年 / 99卷 / 1期

关键词：

Singular Point; Asymptotic Expansion; Linear Ordinary Differential Equation; Canonical Solution; Monodromy Matrice;

D O I：

10.1007/BF02673590

中图分类号：

学科分类号：

摘要：

Asymptotic expansions for some special solutions of the fifth Painlevé equation for x → 0 and for x → +∞ and the corresponding connection formulas are obtained. An example of application of the obtained formulas to the third Painlevé equation is given.© 2000 Kluwer Academic/Plenum Publishers.

引用

页码：808 / 815

页数：7

共 50 条

[31] Uniform asymptotic expansions of solutions of an inhomogeneous equation
Chen, Xinfu
Sadhu, Susmita
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (03) : 951 - 976
[32] On Asymptotic Series Expansions of Solutions to the Riccati Equation
Samovol, V. S.
MATHEMATICAL NOTES, 2021, 110 (1-2) : 135 - 144
[33] CONNECTION FORMULAS BETWEEN THE SOLUTIONS OF MATHIEU EQUATION
WANNIER, GH
QUARTERLY OF APPLIED MATHEMATICS, 1953, 11 (01) : 33 - 59
[34] All expansions of solutions to the sixth Painlevé equation near its nonsingular point
A. D. Bruno
I. V. Goryuchkina
Doklady Mathematics, 2009, 79 : 397 - 402
[35] Some properties of the solutions of higher analogue of the Painlevé equation
Li Y.-Z.
Acta Mathematicae Applicatae Sinica, 2006, 22 (1) : 59 - 64
[36] Special polynomials and rational solutions of the hierarchy of the second Painlevé equation
M. V. Demina
N. A. Kudryashov
Theoretical and Mathematical Physics, 2007, 153 : 1398 - 1406
[37] Painlevé Property and Complexiton Solutions of a Special Coupled KdV Equation
YANG Jian-Rong~(1
CommunicationsinTheoreticalPhysics, 2008, 50 (10) : 809 - 813
[38] All expansions of solutions to the sixth Painlev, equation near its nonsingular point
Bruno, A. D.
Goryuchkina, I. V.
DOKLADY MATHEMATICS, 2009, 79 (03) : 397 - 402
[39] Asymptotic expansions for partial solutions of the sixth Painleve equation
Vereshchagin, VL
THEORETICAL AND MATHEMATICAL PHYSICS, 2001, 128 (02) : 996 - 1006
[40] ASYMPTOTIC EXPANSIONS OF SOLUTIONS OF A PARABOLIC EQUATION WITH A SMALL PARAMETER
SUSHKO, VG
DIFFERENTIAL EQUATIONS, 1985, 21 (10) : 1221 - 1223

← 1 2 3 4 5 →