具有转移条件且边界条件含特征参数的奇异微分算子的谱分析(英文)  

Spectrum of Singular Sturm-Liouville Problem with Eigenparameter Dependent Boundary Conditions and Transmission Conditions

作　　者：周立广[1] 王万义[1] 索建青[1] 许美珍[2] 

机构地区：[1]内蒙古大学数学科学学院 [2]内蒙古工业大学理学院数学系

出　　处：《内蒙古大学学报（自然科学版）》2010年第6期601-609,共9页Journal of Inner Mongolia University：Natural Science Edition

基　　金：Supported by the National Natural Science Foundational of China (GrantNo.10961019)~~

摘　　要：考虑了有限区间内一类边界条件含特征参数且在一内点处具有转移条件的奇异Sturm-Liouville问题,构造了其基础解系,考察了该问题特征值的性质,给出了其基本解的渐进估计.The singular Sturm-Liouville problem with eigenparameter dependent boundary conditions and with transmission conditions at one inner point of a finite interval is considered. Fundamental solutions are constructed and some properties of the eigenvalues and asymptotic formulas for fundamental solutions of the considered problem are obtained.

关 键 词：奇异Sturm—Liouville问题 特征参数 转移条件 渐进估计 

分 类 号：O175.3[理学—数学]