Constructing the Asymptotics of Solutions to Differential Sturm-Liouville Equations in Classes of Oscillating Coefficients

被引：0

作者：

Valeev, N. F. ^{[1
]}

Nazirova, E. A. ^{[2
]}

Sultanaev, Ya. T. ^{[3
,4
]}

机构：

[1] Russian Acad Sci, Inst Math, Comp Ctr, Ufa Fed Res Ctr, Ufa, Russia

[2] Ufa Univ Sci & Technol, Ufa, Russia

[3] Lomonosov Moscow State Univ, Fac Mech & Math, Chair Math Anal, Moscow, Russia

[4] Lomonosov Moscow State Univ, Ctr Appl & Fundamental Math, Moscow, Russia

来源：

MOSCOW UNIVERSITY MATHEMATICS BULLETIN | 2023年 / 78卷 / 05期

基金：

俄罗斯科学基金会;

关键词：

asymptotic methods; Sturm-Liouville equation; oscillating coefficients; BEHAVIOR;

D O I：

10.3103/S0027132223050066

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The article is focused on the development of a method allowing one to construct asymptotics for solutions to ODEs of arbitrary order with oscillating coefficients on the semiaxis. The idea of the method is presented on the example of studying the asymptotics of the Sturm-Liouville equation.

引用

页码：253 / 257

页数：5

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