Construction of Asymptotic Formulas for Solutions of One Differential Problem with a Singular Coefficient

被引：0

作者：

Lomov, I. S. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 119991, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 08期

关键词：

differential equation; singular coefficient; asymptotic representation of; the solution; associated problem; BASIS PROPERTY;

D O I：

10.1134/S1995080223080358

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The first boundary value problem for a second-order differential operator with a singular potential on a segment with conjugation conditions at an interior point of the segment is studied. For the solution of the problemwith a parameter, asymptotic formulae and estimates are obtained on each of the segments of smoothness. A similar formula is obtained for the solution of the associated problem.

引用

页码：3430 / 3437

页数：8

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