浙江大学学报（理学版）2025，Vol.52Issue(3)：391-396,6.DOI:10.3785/j.issn.1008-9497.2025.03.012
边界条件含有谱参数的奇异Sturm-Liouville算子特征值的依赖性
Dependence of eigenvalue of Sturm-Liouville problem with singular potential and eigenparameter-dependent boundary conditions
摘要
Abstract
In this paper,we study the dependence of eigenvalue of Sturm-Liouville operator with distributed potential function and prove the continuous dependence of eigenvalue branch by establishing boundary condition space and constructing embedded mapping.Moreover,in the sense of Fréchet derivative,the differential expressions of eigenvalue branches with respect to all given parameters are obtained.关键词
奇异Sturm-Liouville算子/特征参数/特征值分支/连续依赖性Key words
singular Sturm-Liouville operator/eigenparameter/eigenvalue branch/continuous dependence分类
数理科学引用本文复制引用
仲林路,杜高峰..边界条件含有谱参数的奇异Sturm-Liouville算子特征值的依赖性[J].浙江大学学报（理学版）,2025,52(3):391-396,6.基金项目
国家自然科学基金资助项目(12461039). （12461039）
