Dependence of eigenvalue of Sturm-Liouville problem with singular potential and eigenparameter-dependent boundary conditions(边界条件含有谱参数的奇异Sturm-Liouville算子特征值的依赖性)

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...

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Bibliographic Details
Main Authors: 仲林路(ZHONG Linlu), 杜高峰(DU Gaofeng)
Format: Article
Language:Chinese
Published: Zhejiang University Press 2025-05-01
Series:Zhejiang Daxue xuebao. Lixue ban
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2025.03.012
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