偶阶非对称微分算子离散谱准则  

Criteria for the Discrete Spectrum of Even-order Non-symmetric Differential Operators

作　　者：杨传富[1] 黄振友[1] 杨孝平[1] 

机构地区：[1]南京理工大学应用数学系,南京江苏210094

出　　处：《数学进展》2007年第2期159-168,共10页Advances in Mathematics（China）

摘　　要：本文研究了由2n阶复系数J-对称微分算式生成的J-自伴微分算子谱的离散性,分别得到了一类J-自伴微分算子谱离散的充分条件与必要条件,为判断一类微分算子谱的离散性提供了若干准则．In this work, we discuss the discreteness of the spectrum of J-self-adjoint differential operators that are generated by J-symmetric differential expression with complex-valued coefficients. Some criteria for the discrete spectrum of J-self-adjoint differential operators are obtained.

关 键 词：J-自伴微分算子 豫解算子 本质谱 离散谱 

分 类 号：O175.3[理学—数学]