Necessary and Sufficient Conditions for Basis Properties of the System of Root Functions of Sturm-Liouville Boundary Value Problems with Eigenparameter Dependent Boundary Conditions

Aliyev, Yagub

dc.contributor.author	Aliyev, Yagub
dc.date.accessioned	2025-07-14T12:28:00Z
dc.date.available	2025-07-14T12:28:00Z
dc.date.issued	2024
dc.identifier.uri	http://hdl.handle.net/20.500.12181/1428
dc.description.abstract	In this study, Sturm-Liouville problems with a boundary condition depending quadratically on an eigenparameter are considered. The necessary and sufficient conditions for minimality and completeness of the chosen system of root functions of the corresponding operator are given in two forms, one of which can be done by direct computations. This computationally simpler way was discussed in the literature for the affine case. But for the quadratic case it was done for a similar boundary value problem only recently. The aim of the present paper is to fill this gap for the quadratic case.	en_US
dc.language.iso	en	en_US
dc.publisher	''Birkhäuser''	en_US
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.subject	Sturm-Liouville problems	en_US
dc.subject	Boundary value problems	en_US
dc.subject	Functional analysis	en_US
dc.subject	Mathematical analysis	en_US
dc.title	Necessary and Sufficient Conditions for Basis Properties of the System of Root Functions of Sturm-Liouville Boundary Value Problems with Eigenparameter Dependent Boundary Conditions	en_US
dc.type	Book chapter	en_US