Properties of Eigenvalues and Generalized Eigenfunctions for Sturm–Liouville Problem with Eigenparameter-Dependent Boundary Conditions

This paper investigates the eigenvalues and generalized eigenfunctions of a Sturm–Liouville problem in which the eigenparameter appears in the boundary conditions. By employing operator pencil theory in a Hilbert space, combined with an appropriate integral transformation, we prove that the system o...

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Bibliographic Details

Published in:	Mediterranean journal of mathematics Vol. 22; no. 8; p. 222
Main Authors:	Li, Zhiyu, Zheng, Zhaowen, Zhang, Yinghan
Format:	Journal Article
Language:	English
Published:	Heidelberg Springer Nature B.V 01.12.2025
Subjects:	Boundary conditions Eigenvalues Eigenvectors Hilbert space Integral transforms Lower bounds Operators (mathematics) Ordinary differential equations Sturm-Liouville theory
ISSN:	1660-5446, 1660-5454
Online Access:	Get full text
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