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

共 50 条

[1] Construction of Asymptotic Formulas for Solutions of One Differential Problem with a Singular Coefficient
I. S. Lomov
Lobachevskii Journal of Mathematics, 2023, 44 : 3430 - 3437
[2] ASYMPTOTIC FORMULAS FOR SOLUTIONS OF A SINGULAR LINEAR ORDINARY DIFFERENTIAL-EQUATION
GILBERT, RC
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1978, 81 : 57 - 70
[3] THE ASYMPTOTIC SOLUTIONS OF AN ORDINARY DIFFERENTIAL EQUATION IN WHICH THE COEFFICIENT OF THE PARAMETER IS SINGULAR
CASHWELL, ED
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (07) : 708 - 709
[4] Construction of asymptotic formulas for solutions of singularly perturbed degenerate systems of differential equations
Samusenko, P. F.
NONLINEAR OSCILLATIONS, 2008, 11 (03): : 427 - 441
[5] Dichotomies and asymptotic formulas for the solutions of differential equations
Pinto, Manuel
Journal of Mathematical Analysis and Applications, 1995, 195 (01):
[6] Asymptotic behavior of solutions of a singular Cauchy problem for a functional-differential equation
Zernov A.E.
Chaichuk O.R.
Journal of Mathematical Sciences, 2009, 160 (1) : 123 - 127
[7] Asymptotic solutions of differential equations with singular impulses
Aviltay, Nauryzbay
Akhmet, Marat
Zhamanshin, Akylbek
CARPATHIAN JOURNAL OF MATHEMATICS, 2024, 40 (03) : 581 - 598
[8] On the asymptotic behavior of solutions of a singular cauchy problem
Zernov A.E.
Meleshko T.V.
Ukrainian Mathematical Journal, 2001, 53 (9) : 1433 - 1444
[9] RESONANCE AND ASYMPTOTIC SOLUTIONS OF A SINGULAR PERTURBATION PROBLEM
WAZWAZ, AM
IMA JOURNAL OF APPLIED MATHEMATICS, 1992, 49 (03) : 231 - 244
[10] Asymptotic formulas for the solutions of integro-differential equations
Naulin, R
Vanegas, CJ
ACTA MATHEMATICA HUNGARICA, 2000, 89 (04) : 281 - 299

← 1 2 3 4 5 →