Well-posedness of the second-order linear singular Dirichlet problem

被引：0

作者：

Lomtatidze, Alexander ^{[1
,2
]}

Oplustil, Zdenek ^{[1
]}

机构：

[1] Brno Univ Technol, Fac Mech Engn, Inst Math, Tech 2, Brno 61669, Czech Republic

[2] Acad Sci Czech Republic, Branch Brno, Inst Math, Brno 61662, Czech Republic

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2015年 / 22卷 / 03期

关键词：

Singular Dirichlet problem; well-posedness;

D O I：

10.1515/gmj-2015-0023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Conditions guaranteeing well-posedness of the problem u '' = p(0)(t)u + q(0)(t), u(a) = 0, u(b) = 0, are established. Here p(0),q(0): ]a,b[-> R are locally Lebesgue integrable functions and may have singularities at t = a and t = b

引用

页码：409 / 419

页数：11

共 50 条

[1] WELL-POSEDNESS FOR A TRANSMISSION PROBLEM CONNECTING FIRST AND SECOND-ORDER OPERATORS
Chang-Lara, Héctor A.
arXiv, 2023,
[2] Well-posedness for a transmission problem connecting first and second-order operators
Chang-Lara, Hector A.
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2024, 30
[3] On the Well-Posedness of a Singular Problem for Linear Differential Equations
R. E. Uteshova
Ye. V. Kokotova
Lobachevskii Journal of Mathematics, 2023, 44 : 2961 - 2969
[4] On the Well-Posedness of a Singular Problem for Linear Differential Equations
Uteshova, R. E.
Kokotova, Ye. V.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (07) : 2961 - 2969
[5] Conditions for the well-posedness of nonlocal problems for second-order linear differential equations
Kiguradze, I. T.
Kiguradze, T. I.
DIFFERENTIAL EQUATIONS, 2011, 47 (10) : 1414 - 1425
[6] Conditions for the well-posedness of nonlocal problems for second-order linear differential equations
I. T. Kiguradze
T. I. Kiguradze
Differential Equations, 2011, 47 : 1414 - 1425
[7] Well-posedness of boundary value problems for a second-order equation
V. A. Kostin
M. N. Nebol’sina
Doklady Mathematics, 2009, 80 : 650 - 652
[8] Remarks on well-posedness theorems for damped second-order systems
Banks, HT
APPLIED MATHEMATICS LETTERS, 1999, 12 (06) : 21 - 24
[9] Fredholm alternative for the second-order singular Dirichlet problem
Lomtatidze, Alexander
Oplustil, Zdenek
BOUNDARY VALUE PROBLEMS, 2014,
[10] Fredholm alternative for the second-order singular Dirichlet problem
Alexander Lomtatidze
Zdeněk Opluštil
Boundary Value Problems, 2014

← 1 2 3 4 5 →