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.

引用

页码：681 / 698

页数：18

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