Integro-differential properties of the singular Sturm-Liouville operator

被引：1

作者：

Bilal, Sh ^{[1
]}

机构：

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

来源：

DIFFERENTIAL EQUATIONS | 2014年 / 50卷 / 02期

关键词：

Green Function; Dirac Operator; Fractional Power; Trace Class; Liouville Operator;

D O I：

10.1134/S0012266114020025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the properties of the positiveness, fractional power, boundedness, and separation of the singular Sturm-Liouville operator in a weighted space depending on the behavior of its coefficients. We derive necessary and sufficient conditions for its positiveness, trace class property, boundedness, and separation.

引用

页码：147 / 161

页数：15

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