一类具有对数函数系数的常微分算子的本质谱  

On the Essential Spectrum of a Class of Ordinary Differential Operators with Logarithmic Coefficients

作　　者：刘超[1] 孙炯[1] 

机构地区：[1]内蒙古大学数学系,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2003年第4期373-379,共7页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金资助项目(19871037)

摘　　要：研究了一类微分算式中具有对数函数系数的微分算子,给出了算子的本质谱,以及当λ不属于L的本质谱σe(L)时,最大算子T1(L-λ)的核空间的维数nul(L-λ).此外,文章还将所研究算子的本质谱与Euler微分算子的本质谱进行比较,通过实例探寻了本质谱对微分算式系数的依赖关系.The essential spectrum of a class of ordinary differential operators with logarithmic coefficients is studied.The results presented here consist of an exact evaluation of the essential spectrum and the nullities of maximal operators T1(L-λ) when λ does not belong to σe(L).Furthermore,the comparison of the essential spectrum of the operators being studied with that of the Euler differential operators shows the dependence of the essential spectrum on the coefficients of the expressions.

关 键 词：微分算子 D—算子 本质谱 

分 类 号：O175.3[理学—数学]