Structure of Fractional Spaces Generated by the Difference Operator and Its Applications

被引：2

作者：

Ashyralyev, Allaberen ^{[1
,2
,3
]}

Tetikoglu, Fatih Sabahattin ^{[4
]}

机构：

[1] Near East Univ, Dept Math, Mersin, Turkey

[2] Peoples Friendship Univ Russia, Dept Math, Moscow, Russia

[3] Inst Math & Math Modeling, Alma Ata, Kazakhstan

[4] Nanjing Univ Informat Sci & Technol, NUIST Reading Acad, Jiangsu 210044, Peoples R China

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2017年 / 38卷 / 10期

关键词：

Boundary value problem; fractional space; green function; positive operator; 34B27; 30E25; 35G15; 35J25; POSITIVITY;

D O I：

10.1080/01630563.2017.1316999

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, the positivity of the second order of approximation of the difference operator approximates the second-order differential operator with nonlocal conditions is established. The equivalence of norms of these fractional spaces generated by this operator and Holder spaces is proved. In applications, the stability of difference schemes for the approximate solution of the boundary value problem for elliptic differential equations is provided.

引用

页码：1325 / 1340

页数：16

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