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

作　　者：林秋红 LIN Qiu-hong(Dept.of Basic Course,Guangdong Polytechnic College,Zhaoqing 526100,China)

机构地区：[1]广东理工学院基础部,广东肇庆526100

出　　处：《中北大学学报（自然科学版）》2018年第5期489-494,共6页Journal of North University of China(Natural Science Edition)

基　　金：广东省特色创新项目(自然科学)(2017KTSCX204);广东理工学院校级科技项目(GKJ2017024)

摘　　要：研究了J-对称微分算式τ(y)在两端奇异且亏指数不相等时J-自伴扩张的边条件问题.利用J-对称微分算式生成的最大算子域的构造定理,得到了在(-∞,∞)上J-对称微分算子的J-自伴域边条件的解析描述,并给出了几种特殊亏指数的J-自伴域的完全描述,进一步完善了J-自伴域的边条件理论.The boundary condition of the J-selfadjoint extensions domain of J-symmetric differential expression 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 expression,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 extensions 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 

分 类 号：O175.3[理学—数学]