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.
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页码：147 / 161
页数：15
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