一类脉冲Strum-Liouville算子的特征值渐近式和迹公式  

Eigenvalues asymptotic formula and trace formula for a class of impulsive Sturm-Liouville operators

作　　者：姬杰 JI Jie(School of Science,Nanjing University of Science and Technology,Nanjing 210094,Jiangsu,China)

机构地区：[1]南京理工大学理学院

出　　处：《山东大学学报（理学版）》2019年第10期49-56,共8页Journal of Shandong University(Natural Science)

摘　　要：针对有限区间上一类脉冲Strum-Liouville边值问题,即区间内部有不连续点且方程右边含有间断系数,主要利用留数定理得到特征值渐近估计和迹公式。A class of impulsive Strum-Liouville boundary value problems on a finite interval are discussed, there are discontinuities inside the interval and the discontinuity coefficient on the right side of the equation. The asymptotic formula of the eigenvalues and the trace formula are obtained by using the residue theorem.

关 键 词：有限区间 脉冲Sturm-Liouville算子 留数定理 特征值渐近式 迹公式 

分 类 号：O175.3[理学—数学]