Sturm-Liouville operator with parameter-dependent boundary conditions on time scales

Sturm-Liouville operator with parameter-dependent boundary conditions on time scales

In this study, we consider a boundary-value problem generated by a Sturm-Liouville dynamic equation on a time scale with boundary conditions depending on a spectral parameter. We introduce the operator formulation of the problem and give some properties of eigenvalues and eigenfunctions. We also...

Full description

Bibliographic Details
Main Author: A. Sinan Ozkan
Format: Article
Language:English
Published: Texas State University 2017-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Time scale
Sturm-Liouville operator
parameter-dependent boundary conditions
Online Access:http://ejde.math.txstate.edu/Volumes/2017/212/abstr.html
id doaj-6abb0ddd2afd4926bad66d3ebf8a3561
record_format Article
spelling doaj-6abb0ddd2afd4926bad66d3ebf8a35612020-11-24T23:28:59ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-09-012017212,110Sturm-Liouville operator with parameter-dependent boundary conditions on time scalesA. Sinan Ozkan0 Cumhuriyet Univ., Sivas, Turkey In this study, we consider a boundary-value problem generated by a Sturm-Liouville dynamic equation on a time scale with boundary conditions depending on a spectral parameter. We introduce the operator formulation of the problem and give some properties of eigenvalues and eigenfunctions. We also formulate the number of eigenvalues when the time scale is finite.http://ejde.math.txstate.edu/Volumes/2017/212/abstr.htmlTime scaleSturm-Liouville operatorparameter-dependent boundary conditions
collection DOAJ
language English
format Article
sources DOAJ
author A. Sinan Ozkan
spellingShingle A. Sinan Ozkan
Sturm-Liouville operator with parameter-dependent boundary conditions on time scales
Electronic Journal of Differential Equations
Time scale
Sturm-Liouville operator
parameter-dependent boundary conditions
author_facet A. Sinan Ozkan
author_sort A. Sinan Ozkan
title Sturm-Liouville operator with parameter-dependent boundary conditions on time scales
title_short Sturm-Liouville operator with parameter-dependent boundary conditions on time scales
title_full Sturm-Liouville operator with parameter-dependent boundary conditions on time scales
title_fullStr Sturm-Liouville operator with parameter-dependent boundary conditions on time scales
title_full_unstemmed Sturm-Liouville operator with parameter-dependent boundary conditions on time scales
title_sort sturm-liouville operator with parameter-dependent boundary conditions on time scales
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2017-09-01
description In this study, we consider a boundary-value problem generated by a Sturm-Liouville dynamic equation on a time scale with boundary conditions depending on a spectral parameter. We introduce the operator formulation of the problem and give some properties of eigenvalues and eigenfunctions. We also formulate the number of eigenvalues when the time scale is finite.
topic Time scale
Sturm-Liouville operator
parameter-dependent boundary conditions
url http://ejde.math.txstate.edu/Volumes/2017/212/abstr.html
work_keys_str_mv AT asinanozkan sturmliouvilleoperatorwithparameterdependentboundaryconditionsontimescales
_version_ 1725547110804226048

Similar Items