KREIN-VON NEUMANN EXTENSION OF AN EVEN ORDER DIFFERENTIAL OPERATOR ON A FINITE INTERVAL

被引：2
|
作者：
Granovskyi, Yaroslav I. [1 ]
Oridoroga, Leonid L. [2 ]
机构：
[1] NAS Ukraine, Inst Appl Math & Mech, Kiev, Ukraine
[2] Donetsk Natl Univ, Donetsk, Ukraine
来源：
OPUSCULA MATHEMATICA | 2018年 / 38卷 / 05期
关键词：
non-negative extension; Friedrichs' extension; Krein-von Neumann extension; boundary triple; Weyl function;
D O I：
10.7494/OpMath.2018.38.5.681
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We describe the Krein-von Neumann extension of minimal operator associated with the expression A := (-1)(n) d(2n)/dx(2n) on a finite interval (a, b) in terms of boundary conditions. All non-negative extensions of the operator A as well as extensions with a finite number of negative squares are described.
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页码：681 / 698
页数：18
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