实H空间对称线性单调算子固有值问题及应用  

THE EIGENVALUE PROBLEMS OF THE LINEAR SYMMETRIC MONOTONIC OPERATORS ON THE REAL ORDERED HILBERT SPACES AND APPLICATION

作　　者：杨茵[1] 

机构地区：[1]华中理工大学

出　　处：《数学杂志》1996年第3期336-340,共5页Journal of Mathematics

摘　　要：本文在实Ｈｉｌｂｅｒｔ空间中讨论了带权算子的对称线性单调算子的固有值问题，得出了最小正固有值及其相应的固有向量的一些相关结论，并给出了它们在某些边值。In this paper, we consider the eigenvalue problems of the linear symmetric monotonic operators on the real ordered Hilbert spaces and obtain some results about the least positive eigenvalue as well as its positive eigenvector. Also we have shown its application for some BVP.

关 键 词：固有值问题 单调算子 希尔伯特空间 线性算子 

分 类 号：O177.1[理学—数学]