Functional Model of Dissipative Fourth Order Differential Operators

被引：1
|
作者：
Tuna, Huseyin [1 ]
机构：
[1] Mehmet Akif Ersoy Univ Burdur, Dept Math, TR-15100 Burdur, Turkey
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2013年 / 21卷 / 02期
关键词：
Dilation; Dissipative operator; Completeness of the system of eigenvectors and associated vectors; Scattering matrix; Functional model; Characteristic function; DILATION;
D O I：
10.2478/auom-2013-0036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, maximal dissipative fourth order operators with equal deficiency indices are investigated. We construct a self adjoint dilation of such operators. We also construct a functional model of the maximal dissipative operator which based on the method of Pavlov and define its characteristic function. We prove theorems on the completeness of the system of eigenvalues and eigenvectors of the maximal dissipative fourth order operators.
引用
收藏
页码：237 / 252
页数：16
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