On solvability of some nonlocal boundary value problems with the Hadamard boundary operator

被引：5

作者：

Sadybekov, Makhmud A. ^{[1
]}

Turmetov, Batirkhan Kh ^{[2
]}

Muratbekova, Moldir A. ^{[2
]}

机构：

[1] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

[2] A Yesevi Univ, Turkestan 161200, Kazakhstan

来源：

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2014) | 2014年 / 1611卷

关键词：

The Laplace equation; Nonlocal problem; Hadamard operator; Solvability; Smoothness;

D O I：

10.1063/1.4893845

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work, solvability of some nonlocal problems for the Laplace equation in a ball are studied. Operators of a fractional order in the Hadamard sense are considered as boundary operators. Correctness of the considered problems is established. Smoothness of the solution of considered problems is also studied in the Holder classes depending on the order of boundary operators.

引用

页码：266 / 270

页数：5

共 50 条

[1] Solvability of some boundary-value problems for polyharmonic equation with Hadamard-Marchaud boundary operator
Bekaeva A.E.
Karachik V.V.
Turmetov B.K.
[J]. Russian Mathematics, 2014, 58 (7) : 11 - 24
[2] SOLVABILITY OF BOUNDARY-VALUE PROBLEMS FOR POISSON EQUATIONS WITH HADAMARD TYPE BOUNDARY OPERATOR
Turmetov, Batirkhan
Koshanova, Maira
Usmanov, Kayrat
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[3] On solvability of some boundary value problem with the Hadamard-Marshaud operator
Turmetov, B. H.
Bayimetova, N. Z.
[J]. BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2012, 67 (03): : 89 - 99
[4] ON SOLVABILITY OF SOME NONLOCAL BOUNDARY VALUE PROBLEMS FOR BIHARMONIC EQUATION
Karachik, Valery
Turmetov, Batirkhan
[J]. MATHEMATICA SLOVACA, 2020, 70 (02) : 329 - 342
[5] ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR THE POISSON EQUATION WITH A NONLOCAL BOUNDARY OPERATOR
Kadirkulov, B. J.
Kirane, M.
[J]. ACTA MATHEMATICA SCIENTIA, 2015, 35 (05) : 970 - 980
[6] Solvability of Nonlocal Fractional Boundary Value Problems
Huang, Zhongmin
Hou, Chengmin
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
[7] On the Solvability of Some Boundary Value Problems for the Inhomogeneous Polyharmonic Equation with Boundary Operators of the Hadamard Type
Turmetov, B. Kh.
[J]. DIFFERENTIAL EQUATIONS, 2017, 53 (03) : 333 - 344
[8] On the solvability of some boundary value problems for the inhomogeneous polyharmonic equation with boundary operators of the Hadamard type
B. Kh. Turmetov
[J]. Differential Equations, 2017, 53 : 333 - 344
[9] On the Solvability of Some Boundary Value Problems for the Nonlocal Poisson Equation with Boundary Operators of Fractional Order
Usmanov, Kairat
Turmetov, Batirkhan
Nazarova, Kulzina
[J]. FRACTAL AND FRACTIONAL, 2022, 6 (06)
[10] Solvability of nonlocal boundary value problems for pseudoparabolic equations
A. I. Kozhanov
N. S. Popov
[J]. Journal of Mathematical Sciences, 2012, 186 (3) : 438 - 452

← 1 2 3 4 5 →