Intermediate Asymptotics for Solutions to Equations of Emden-Fowler Type

被引：0

作者：

Stepin, S. A. ^{[1
]}

Shafarevich, A. I. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Fac Mech & Math, Moscow, Russia

来源：

DOKLADY MATHEMATICS | 2024年 / 110卷 / 03期

关键词：

equation of Emden-Fowler type; generalized Liouville transform; subdominant and singular solutions; intermediate asymptotics;

D O I：

10.1134/S1064562424702302

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a class of Emden-Fowler type differential equations, we investigate the structure of the family of subdominant and singular nonextendable solutions possessing intermediate WKB asymptotics.

引用

页码：469 / 473

页数：5

共 8 条

[1]

[Anonymous], 2013, An Introduction to Phase-Integral Methods

[2]

Barenblatt G.I., 1971, Russian Mathematical Survey, V26, P45, DOI DOI 10.1070/RM1971V026N02ABEH003819

[3]

Bellman RE, 1953, STABILITY THEORY DIF

[4]

Fedoryuk M.B., 1993, ASYMPTOTIC ANAL LINE

[5]

Il'in AM., 1992, Matching of Asymptotic Expansions of Solutions of Boundary Value Problems

[6]

Kiguradze I. T., 1965, Izv. Akad. Nauk SSSR Ser. Mat, V29, P965

[7]

Kiguradze I. T., 1993, Asymptotic Properties of Solutions of Non-autonomous Ordinary Differential Equations

[8] Solutions of ordinary differential equations with vertical asymptote [J].

Kon'kov, A. A. .

SBORNIK MATHEMATICS, 2008, 199 (1-2) :1-11

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