应用数学2011，Vol.24Issue(2)：317-323,7.
边界条件中带有谱参数的不连续Sturm-Liouville算子的特征函数系的完备性
Completeness of Eigenfunctions of Sturm-Liouville Operators with Transmission Conditions andEigenparameter-dependent Boundary Conditions
摘要
Abstract
In this paper, we investigate the completeness of eigenfunctions of the Sturm-Liouville operator 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 is an eigenvalue. Then, investigate a self-adjoint linear operator T, associated with the above Sturm-Liouville operator,in a suitable Hilbert space H, and prove the completeness of its eigenfunctions.关键词
Sturm-Liouville算子/转移条件/含参变条件/特征值/特征函数Key words
Sturm-Liouville operator/Transmission conditions/Eigenparameter-dependent boundary condition/Eigenvalue/Eigenfunction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算子的特征函数系的完备性[J].应用数学,2011,24(2):317-323,7.基金项目
国家自然科学基金资助项目(10561005,10861008) （10561005,10861008）
