Asymptotic expansion for a solution of an ordinary second-order differential equation with three turning points

被引：0

作者：

Tursunov, D. A. ^{[1
]}

机构：

[1] Urals State Pedag Univ, Ekaterinburg, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2016年 / 22卷 / 01期

关键词：

asymptotic expansion; turning point; singular (bisingular) perturbation; ordinary second-order differential equation; Airy equation; modified Bessel functions; Dirichlet problem; generalized boundary function; small parameter;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the generalized method of boundary functions, we construct a uniform asymptotic expansion of the solution of the Dirichlet problem for a singularly perturbed linear inhomogeneous ordinary second-order differential equation with three turning points on the real axis. The constructed asymptotic series is a Puiseux series.

引用

页码：271 / 281

页数：11

共 12 条

[1] Generalization of the boundary function method for solving boundary-value problems for bisingularly perturbed second-order differential equations [J].