两端奇异的自伴微分算子的解析描述  

Analytic Description of Self-adjoint Differential Operators with both Strange Ends

作　　者：刘鸿基[1] 

机构地区：[1]商丘师范学院计算机科学系,河南商丘476000

出　　处：《空军工程大学学报（自然科学版）》2006年第3期92-94,共3页Journal of Air Force Engineering University(Natural Science Edition)

基　　金：河南省自然科学基金资助项目(0511013700)

摘　　要：给出了所有可能情况下自伴域的完全描述。关于对称微分算子在最大算子域内界定自伴域的边界条件问题,去掉了两端亏指数相等的限制条件,给出线性流形为自伴扩张域的充分必要条件,从而使两端奇异的自伴微分算子的解析描述得到完满解决。In this paper, several lemmas complete description of all the possibility defect index at the both ends in text [ 4 ] operators at the both strange ends solved in [ 3 ] are improved, the method used in [ 2 ] and [ 3 ] is generalized, the of self - adjoint area is given, and the limitation on the equal condition of is reduced, thus making the analytic description of selfadjoint differential completely.

关 键 词：微分算子 对称微分算式 自伴域 线性流形 亏指数 

分 类 号：O175.1[理学—数学]