上三角无穷维Hamilton算子的谱的性质及其在弹性力学中的应用  

Spectral Property of Upper Triangular Infinite Dimensional Hamiltonian Operator and Its Application in Elasticity

作　　者：房立蕾 张澜[1] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《内蒙古大学学报（自然科学版）》2015年第4期337-341,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：内蒙古自然科学基金资助项目(2012MS0111)

摘　　要：对于对角型定义的上三角型无穷维Hamilton算子,用其第一对角元的各类谱描述了此无穷维Hamilton算子各类谱的分布特点.当其第一对角元为特殊类型算子时,给出了它的各类谱的特点.最后将所得结果应用在弹性力学中.For an upper triangular infinite dimensional Hamiltonian operator with diagonal domain, the distributive characteristics of some kinds of spectrums are studied by using the corresponding spectrum of its first diagonal element. Furthermore, the characteristics of some kinds of spectrums for the infinite dimensional Hamiltonian operator whose first diagonal element is the special operator are estimated. In the end, the conclusion is applied in the elasticity.

关 键 词：上三角无穷维Hamilton算子 近似点谱 1-类点谱 1-类剩余谱 

分 类 号：O175.25[理学—数学]