On Fredholm Solvability and on the Index of the Generalized Neumann Problem for an Elliptic Equation of High Order on a Plane

被引：0

作者：

Koshanov, Bakytbek ^{[1
]}

Bakytbek, Maksat ^{[2
]}

机构：

[1] Al Farabi Kazakh Natl Univ, Int Univ Informat Technol, Alma Ata, Kazakhstan

[2] Kazakh Acad Transport & Commun, Alma Ata, Kazakhstan

来源：

EXTENDED ABSTRACTS MWCAPDE 2023 | 2024年 / 1卷

关键词：

PARTIAL-DIFFERENTIAL EQUATIONS; GREEN-FUNCTION REPRESENTATION; BOUNDARY-VALUE PROBLEM; DIRICHLET PROBLEM;

D O I：

10.1007/978-3-031-41665-1_19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the Fredholm solvability of the generalized Neumann problem for a high-order elliptic equation on a plane. The equivalence of the solvability conditions of the generalized Neumann problem to the complementarity condition (Shapiro-Lopatinskii condition) is proved. The formula for the index of the specified problem in the class C-2l,C-mu (<(D) over bar>) is calculated.

引用

页码：167 / 176

页数：10

共 50 条

[21] Solvability of the Dirichlet problem for a general second-order elliptic equation
Dumanyan, V. Zh.
SBORNIK MATHEMATICS, 2011, 202 (07) : 1001 - 1020
[22] Solvability of the Dirichlet problem for the general second-order elliptic equation
Dumanyan, V. Zh.
DOKLADY MATHEMATICS, 2011, 83 (01) : 30 - 33
[23] Solvability of the Neumann problem for a Sobolev pseudoparabolic equation
Al'shin A.B.
Istomina M.A.
Computational Mathematics and Mathematical Physics, 2006, 46 (7) : 1207 - 1215
[24] The Neumann boundary value problem of higher order quasilinear elliptic equation
Fu, Yongqiang
Yu, Mei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (12) : 4488 - 4499
[25] Well-Posed Solvability of the Neumann Problem for a Generalized Mangeron Equation with Nonsmooth Coefficients
Mamedov, I. G.
Mardanov, M. Dzh
Melikov, T. K.
Bandaliev, R. A.
DIFFERENTIAL EQUATIONS, 2019, 55 (10) : 1362 - 1372
[26] Well-Posed Solvability of the Neumann Problem for a Generalized Mangeron Equation with Nonsmooth Coefficients
I. G. Mamedov
M. Dzh. Mardanov
T. K. Melikov
R. A. Bandaliev
Differential Equations, 2019, 55 : 1362 - 1372
[27] ON UNIQUE SOLVABILITY OF THE PLANE NEUMANN-KELVIN PROBLEM
KUZNETSOV, NG
MAZYA, VG
MATHEMATICS OF THE USSR-SBORNIK, 1988, 135 (3-4): : 425 - 446
[28] On a Boundary Problem for a Fourth-Order Elliptic Equation on a Plane
A. P. Soldatov
Computational Mathematics and Mathematical Physics, 2022, 62 : 599 - 607
[29] On a Boundary Problem for a Fourth-Order Elliptic Equation on a Plane
Soldatov, A. P.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2022, 62 (04) : 599 - 607
[30] On solvability of fractional analogues of the Neumann problem for biharmonic equation
Turmetov, B. K.
Myrzahasova, A. M.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2015, 79 (03): : 87 - 95

← 1 2 3 4 5 →