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

[41] An analytic construction of singular solutions related to a critical Yamabe problem
Chan, Hardy
DelaTorre, Azahara
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2020, 45 (11) : 1621 - 1646
[42] THE PROBLEM OF CONSTRUCTION OF ASYMPTOTIC SOLUTIONS IN NON-LINEAR MECHANICS
MITROPOLSKY, YA
SKRIPNIK, AI
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1982, (09): : 10 - 14
[43] The asymptotic construction of positional solutions of the quasilinear problem of optimal observation
Kostyukova, OI
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1995, 35 (12) : 1429 - 1442
[44] Asymptotic expansion of a solution to a singular perturbation optimal control problem with a small coercivity coefficient
Danilin, Aleksei Rufimovich
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2018, 24 (03): : 51 - 61
[45] CONSTRUCTION OF AN ASYMPTOTIC SOLUTION OF THE CAUCHY PROBLEM FOR A DEGENERATE LINEAR SYSTEM IN THE SINGULAR CASE
Yakovets, V. P.
Yakovets, O. V.
NONLINEAR OSCILLATIONS, 2008, 11 (02): : 286 - 304
[46] The asymptotic behavior of solutions to an inverse problem for differential operator equations
Güvenilir, AF
Kalantarov, VK
MATHEMATICAL AND COMPUTER MODELLING, 2003, 37 (9-10) : 907 - 914
[47] On the Problem of Asymptotic Positivity of Solutions for Dissipative Partial Differential Equations
M.V. Bartuccelli
S.A. Gourley
Journal of Biological Physics, 1999, 25 : 65 - 71
[48] On the problem of asymptotic positivity of solutions for dissipative partial differential equations
Bartuccelli, MV
Gourley, SA
JOURNAL OF BIOLOGICAL PHYSICS, 1999, 25 (2-3) : 65 - 71
[49] Singular solutions with asymptotic expansion of linear partial differential equations in the complex domain
Ouchi, S
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1998, 34 (04) : 291 - 311
[50] On the Asymptotic Behavior of Solutions to Two-Term Differential Equations with Singular Coefficients
N. N. Konechnaya
K. A. Mirzoev
A. A. Shkalikov
Mathematical Notes, 2018, 104 : 244 - 252

← 1 2 3 4 5 →