中北大学学报（自然科学版）2018，Vol.39Issue(5)：489-494,6.DOI:10.3969/j.issn.1673-3193.2018.05.002
具两奇异端点的J-对称微分算子的J-自伴域
The Domains of J-Selfadjoint Extensions of J-Symmetric Differential Operators with Two Singular end Points
摘要
Abstract
The boundary condition of the J-selfadjoint extensions domain of J-symmetric differential ex-pression is investigated when the two ends are singular and the deficiency indices are not equal.Using the construction theorem on the domain of maximal operator generated by J-symmetric differential ex-pression,the analytic expression of the boundary condition of J-selfadjoint extensions of J-symmetric differential operators in (-∞,∞)is obtained ,and the complete characterization of J-selfadjoint exten-sions domain of several special deficiency indices is given,the boundary condition theory of J-selfadjoint extensions domain is further improved.关键词
J-对称微分算式/J-自伴域/亏指数/奇异点Key words
J-symmetric differential expression/J-selfadjoint domain/deficiency index/singular end points分类
数理科学引用本文复制引用
林秋红..具两奇异端点的J-对称微分算子的J-自伴域[J].中北大学学报（自然科学版）,2018,39(5):489-494,6.基金项目
广东省特色创新项目(自然科学)(2017KTSCX204) （自然科学）
广东理工学院校级科技项目(GKJ2017024) （GKJ2017024）
