On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator

被引：12

作者：

Muratbekova, Moldir A. ^{[1
]}

Shinaliyev, Kanat M. ^{[1
]}

Turmetov, Batirkhan K. ^{[1
]}

机构：

[1] Akhmet Yasawi Int Kazakh Turkish Univ, Dept Math, Turkistan 161200, Kazakhstan

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

Hadamard-Marchaud operator; fractional derivative; nonlocal problem; DIFFERENTIAL-EQUATIONS; WELL-POSEDNESS; HARMONIC-FUNCTIONS; DERIVATIVES;

D O I：

10.1186/1687-2770-2014-29

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work, we study properties of some integro-differential operators of the Hadamard-Marchaud type in the class of harmonic functions. As an application of these properties, we consider the question of the solvability of a nonlocal boundary value problem for the Laplace equation in the unit ball.

引用

页数：13

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