ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR AN INHOMOGENEOUS POLYHARMONIC EQUATION WITH A FRACTIONAL ORDER BOUNDARY OPERATOR

被引：1

作者：

Turmetov, B. Kh. ^{[1
,2
]}

机构：

[1] Inst Math & Math Modeling, Pushkin Str 125, Alma Ata 050010, Kazakhstan

[2] Kh Yasavi Int Kazakh Turkish Univ, B Sattarkhanov Str 29, Turkestan 161200, Kazakhstan

来源：

UFA MATHEMATICAL JOURNAL | 2016年 / 8卷 / 03期

关键词：

polyharmonic equation; fractional derivative; Neumann problems; Hadamard operators;

D O I：

10.13108/2016-8-3-155

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the solvability of one boundary value problem for an inhomogeneous polyharmonic equation. As a boundary operator, we consider a differentiation operator of fractional order in the Hadamard sense. The considered problem is a generalization of the known Neumann problem.

引用

页码：155 / 170

页数：16

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