Minimality Conditions for Sturm-Liouville Problems with a Boundary Condition Depending Affinely or Quadratically on an Eigenparameter

Kerimov, Nazim; Aliyev, Yagub

dc.contributor.author	Kerimov, Nazim
dc.contributor.author	Aliyev, Yagub
dc.date.accessioned	2025-07-14T10:47:22Z
dc.date.available	2025-07-14T10:47:22Z
dc.date.issued	2024
dc.identifier.uri	http://hdl.handle.net/20.500.12181/1426
dc.description.abstract	In the paper we study Sturm-Liouville problems with a boundary condition depending affinely or quadratically on an eigenparameter. The necessary and sufficient conditions for minimality and completeness of the chosen system of root functions of the corresponding operator were given in two forms, one with the use of special associated functions and another one with the direct use of characteristic functions. This direct method was known for the affine case and was extensively discussed in the literature. The aim of the present paper is to develop this direct method for the quadratic case and to consider the affine and quadratic cases together in a unified way	en_US
dc.language.iso	en	en_US
dc.publisher	''American Mathematical Society''	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 -- Eigenvalue parameter dependence.	en_US
dc.subject	Spectral theory (Mathematics) -- Boundary value problems.	en_US
dc.subject	Differential operators -- Root functions -- Completeness and minimality.	en_US
dc.subject	Mathematical analysis -- Direct methods	en_US
dc.subject	Partial differential equations -- Quadratic boundary conditions.	en_US
dc.title	Minimality Conditions for Sturm-Liouville Problems with a Boundary Condition Depending Affinely or Quadratically on an Eigenparameter	en_US
dc.type	Article	en_US