应用数学2012，Vol.25Issue(4)：936-942,7.
具有内部奇异点的微分算子自共轭域的实参数解描述
Characterization of Real-parameter Solutions of Domains of Self-adjoint Ordinary Differential Operators with Interior Singular Points
摘要
Abstract
In this paper a class of symmetric differential operators which have finite interior singular points are investigated. For the purpose we constructed a direct sum space. By the theory of direct sum space and the decomposition of the corresponding maximal domain, we give the complete and analytic characterization for self-adjoint domains of symmetric differential expressions by means of the real-parameter solutions of equation τ(y) = λoy with λo ∈Ⅱ(T0(τ)) ∩ R. T0(τ) is the corresponding minimal operator generated on the direct sum space. And the matrix defined the boundary conditions is only determined by the initial values of the regular points of the solutions.关键词
微分算子/内部奇异点/实参数解/正则型域Key words
Differential operator/ Interior singular point/ Real-parameter solution/ Regularity domain分类
数理科学引用本文复制引用
葛素琴,王万义..具有内部奇异点的微分算子自共轭域的实参数解描述[J].应用数学,2012,25(4):936-942,7.基金项目
国家自然科学基金资助项目(10961019) （10961019）
