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 second-order elliptic equation with a boundary function from Lp
Gushchin, A. K.
DOKLADY MATHEMATICS, 2011, 83 (02) : 219 - 221
[22] Solvability of the dirichlet problem for a second-order elliptic equation with a boundary function from Lp
A. K. Gushchin
Doklady Mathematics, 2011, 83 : 219 - 221
[23] On solvability of the Dirichlet problem with the boundary function in L 2 for a second-order elliptic equation
Dumanyan, V. Zh.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2015, 50 (04): : 153 - 166
[24] High Order Approximation of the Inverse Elliptic Problem with Dirichlet-Neumann Conditions
Ashyralyyev, Charyyar
FILOMAT, 2014, 28 (05) : 947 - 962
[25] On Fredholm Solvability of the Dirichet Problem for Linear Differential Equations of Infinite Order
Balashova, G. S.
RUSSIAN MATHEMATICS, 2018, 62 (04) : 13 - 17
[26] On solvability of the Dirichlet problem for the third-order hyperbolic equation
O. S. Zikirov
Lithuanian Mathematical Journal, 2010, 50 : 239 - 247
[27] ON SOLVABILITY OF THE DIRICHLET PROBLEM FOR THE THIRD-ORDER HYPERBOLIC EQUATION
Zikirov, O. S.
LITHUANIAN MATHEMATICAL JOURNAL, 2010, 50 (02) : 239 - 247
[28] RETRACTED: On normal solvability of a Dirichlet-type problem for a third-order improperly elliptic equation (Retracted Article)
Hayrapetyan, H. M.
Meliksetyan, P. E.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2012, 57 (05) : 551 - 565
[29] On the Solvability of a Boundary Value Problem for the Ordinary Fredholm Integrodifferential Equation with a Degenerate Kernel
T. K. Yuldashev
Computational Mathematics and Mathematical Physics, 2019, 59 : 241 - 252
[30] On solvability of boundary value problem for a nonlinear Fredholm integro-differential equation
Assanova, A. T.
Zhumatov, S. S.
Mynbayeva, S. T.
Karakenova, S. G.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2022, 105 (01): : 25 - 34

← 1 2 3 4 5 →