具有转移条件的两个区间Sturm-Liouville算子的Green函数和渐近展开(英文)  

Asymptotic Behaviors and Green's Function of Two-interval Sturm-Liouville Problems with Transmission Conditions

作　　者：牡丹[1,2] 孙炯[1] 姚斯琴[1] 

机构地区：[1]内蒙古大学数学科学学院,内蒙古呼和浩特010021 [2]湖北民族学院理学院,湖北恩施445000

出　　处：《应用数学》2014年第3期658-672,共15页Mathematica Applicata

基　　金：Supported by the NNSFC(11161030);the Specialized Research Fund for the Doctoral Program of Higher Education of China(20121501120003);the Doctoral Science Foundation of Hubei University for Nationalities(2014)

摘　　要：考虑具有转移条件的两个区间Sturm-Liouville算子.定义与转移条件相关联的的Hilbert空间,并在新Hilbert空间里讨论两个区间Sturm-Liouville算子.进一步构造具有转移条件的两个区间Sturm-Liouville算子的Green函数,并且给出两个区间Sturm-Liouville算子的特征值和特征函数的渐近展开.We consider the Sturm-Liouville（S-L）problems with transmission conditions on two-interval.The two-interval S-L problems are investigated in the associated Hilbert space related to the transmission conditions.Furthermore,the Green＇s function of the two-interval S-L problems is constructed,and the asymptotic formulas for eigenvalues and eigenfunctions of two-interval S-L problems are obtained.

关 键 词：两个区间Sturm-Liouville算子 渐近展开 GREEN函数 

分 类 号：O177.3[理学—数学]