一类高阶微分算子谱的离散性的充分必要条件  

SUFFICIENT AND NECESSARY CONDITIONS FOR THE DISCRETENESS OF SPECTRUM FOR A CLASS OF HIGH-ORDER DIFFERENTIAL OPERATORS

作　　者：周立广[1] 王万义[1] 索建青[1] 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《系统科学与数学》2013年第3期373-382,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10961019)资助课题

摘　　要：利用算子直和分解的方法和二次型比较的方法,研究一类2n(n≥1)阶微分算子谱的离散性,得到该微分算子的谱是离散的几个充分必要条件.The discreteness of the spectrum of a class of 2n order differential operators is discussed. Some necessary and sufficient conditions for the discreteness of the spectra of the considered operators are obtained with direct sum decomposition method of operators and estimation of the corresponding quadratic forms.

关 键 词：微分算子 离散谱 算子直和分解 

分 类 号：O175.3[理学—数学]