系数含Dirac函数的广义Sturm-Liouville问题的特征值  

A Study on the Eigenvalues of Generalized Sturm-Liouville Problems with Dirac Function in their Coefficients

作　　者：傅守忠[1] 王忠[1] 乔志军 FU Shou-zhong WANG Zhong QIAO Zhi-jun(School of Mathematics and Statistics ,Zhaoqing University ,Zhaoqing 526061 ,China School of Mathematical and Statistical Sciences, University of Texas-Rio Grande Valley ,Edinburg , TX 78539 ,USA)

机构地区：[1]肇庆学院数学与统计学院,广东肇庆526061 [2]数学与统计科学学院,University of Texas-Rio Grande Valley,Edinburg

出　　处：《内蒙古大学学报（自然科学版）》2017年第4期421-424,共4页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11171295)

摘　　要：讨论势函数和权函数分别为Dirac函数的两类广义Sturm-Liouville问题,证明了这两类问题均只包含一个特征值.The generalized Sturm-Liouville problems with their potential and weight function being the Dirac-delta function are discussed, respectively. It is found that both of them have exactly one eigenvalue.

关 键 词：STURM-LIOUVILLE问题 特征值 Dirac函数 

分 类 号：O175.3[理学—数学]