The determinants of fourth order dissipative operators with transmission conditions

被引：12

作者：

Zhang, Xin-yan ^{[1
,2
]}

Sun, Jiong ^{[1
]}

机构：

[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

[2] Inner Mongolia Univ Finance & Econ, Sch Math & Stat, Hohhot 010070, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 410卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Dissipative operators; Transmission conditions; Characteristic determinant; Completeness; STURM-LIOUVILLE OPERATORS; BOUNDARY-VALUE PROBLEM;

D O I：

10.1016/j.jmaa.2013.08.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, discontinuous non-self-adjoint differential operators in Weyl's limit circle are studied. We give the determinant of perturbation connected with the dissipative operator L generated by fourth order differential expression in L-2(I), where discontinuity of operator is dealt with transmission conditions. We obtain the Green's function, then, using characteristic determinant, we prove the completeness of the system of eigenfunctions and associated functions of this dissipative operator. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：55 / 69

页数：15

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