一类线性微分算子谱的带权估计  

Weighted Estimates of Spectrum for a Class of Linear Differential Operator

作　　者：黄振明[1] 

机构地区：[1]苏州市职业大学,江苏苏州215104

出　　处：《廊坊师范学院学报（自然科学版）》2009年第4期8-10,13,共4页Journal of Langfang Normal University(Natural Science Edition)

摘　　要：运用常微分方程谱的基本理论,考虑一类线性微分算子谱的带权估计,利用分部积分、试验函数、Rayleigh定理和不等式估计等方法,得到用前n个谱来估计第n+1个谱的上界的不等式,估计系数与所讨论区间的几何度量无关。This paper considers weighted estimates of spectrum for some kind linear differential operator by using the basic theory concerning the spectrums of ordinary differential equation. The inequality of the upper bound of the （n ＋ 1） th specurum is estimated from the first n spectrums by.using integral, trial function, Rayleigh theorem and inequality estimation. The estimate coefficients do not depend on the measure of the domain in which the problem is concerned.

关 键 词：线性微分算子 谱 上界 估计 

分 类 号：O175.1[理学—数学]