应用数学2012，Vol.25Issue(1)：12-19,8.
边界条件中带有谱参数的不连续Sturm-Liouville算子的特征值问题
Sturm-Liouville Operators with Transmission Conditions and Eigenparameter-dependent Boundary Conditions
摘要
Abstract
In this paper, we investigate properties of eigenvalues of the Sturm-Liouville operators with transmission conditions and eigenparameter-dependent boundary conditions. Firstly,by means of studying the operator itself,we obtain the necessary and sufficient conditions for A being a eigenvalue, and then prove that the eigenvalues of the boundary-value problem are bounded below,and they are countably infinite and can cluster only at ∞.关键词
Sturm-Liouville算子/转移条件/含参数边界条件/渐近式/特征值Key words
Sturm-Liouville operator/Transmission condition/Eigenparameter-dependent boundary condition/ Asymptotic approximation/Eigenvalue分类
数理科学引用本文复制引用
姚斯琴,孙炯..边界条件中带有谱参数的不连续Sturm-Liouville算子的特征值问题[J].应用数学,2012,25(1):12-19,8.基金项目
国家自然科学基金资助项目(10861008,11161030) （10861008,11161030）
