On Borel summation and Stokes phenomena for rank-1 nonlinear systems of ordinary differential equations

被引:109
作者
Costin, O [1 ]
机构
[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA
关键词
D O I
10.1215/S0012-7094-98-09311-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:289 / 344
页数:56
相关论文
共 27 条
[1]  
[Anonymous], 1864, T CAMB PHIL SOC
[2]  
Balser W., 1994, LECT NOTES MATH, V1582
[3]  
Balser W., 1991, ASYMPTOTIC ANAL, V5, P27
[5]   INFINITELY MANY STOKES SMOOTHINGS IN THE GAMMA-FUNCTION [J].
BERRY, MV .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 434 (1891) :465-472
[6]   HYPERASYMPTOTICS [J].
BERRY, MV ;
HOWLS, CJ .
PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1990, 430 (1880) :653-668
[7]   UNFOLDING THE HIGH ORDERS OF ASYMPTOTIC EXPANSIONS WITH COALESCING SADDLES - SINGULARITY THEORY, CROSSOVER AND DUALITY [J].
BERRY, MV ;
HOWLS, CJ .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1993, 443 (1917) :107-126
[8]  
Borel E., 1901, LECONS SERIES DIVERG
[9]   MULTISUMMABILITY OF FORMAL POWER-SERIES SOLUTIONS OF NONLINEAR MEROMORPHIC DIFFERENTIAL-EQUATIONS [J].
BRAAKSMA, BLJ .
ANNALES DE L INSTITUT FOURIER, 1992, 42 (03) :517-540
[10]   Formal solutions of irregular linear differential equations - Part I [J].
Cope, FT .
AMERICAN JOURNAL OF MATHEMATICS, 1934, 56 :411-433