On the generalized eigenfunctions system of the Sturm–Liouville problem

In this paperwe investigate eigenfunctions and generalized eigenfunctions system of the Sturm– Liouville problem with classical boundary condition on the left boundary and nonlocal boundary conditions of four types on the right boundary.

Bibliographic Details
Main Authors: Sigita Pečiulytė, Artūras Štikonas
Format: Article
Language:English
Published: Vilnius University Press 2008-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/14655
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spelling doaj-4ef2826c3b1c44b4b36082b960212e252020-11-25T03:53:09ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2008-12-0148proc. LMS10.15388/LMR.2008.14655On the generalized eigenfunctions system of the Sturm–Liouville problemSigita Pečiulytė0Artūras Štikonas1Vytautas Magnus UniversityVilnius University In this paperwe investigate eigenfunctions and generalized eigenfunctions system of the Sturm– Liouville problem with classical boundary condition on the left boundary and nonlocal boundary conditions of four types on the right boundary. https://www.journals.vu.lt/LMR/article/view/14655Sturm–Liouville problemgeneralized eigenfunctionsnonlocal boundary conditions
collection DOAJ
language English
format Article
sources DOAJ
author Sigita Pečiulytė
Artūras Štikonas
spellingShingle Sigita Pečiulytė
Artūras Štikonas
On the generalized eigenfunctions system of the Sturm–Liouville problem
Lietuvos Matematikos Rinkinys
Sturm–Liouville problem
generalized eigenfunctions
nonlocal boundary conditions
author_facet Sigita Pečiulytė
Artūras Štikonas
author_sort Sigita Pečiulytė
title On the generalized eigenfunctions system of the Sturm–Liouville problem
title_short On the generalized eigenfunctions system of the Sturm–Liouville problem
title_full On the generalized eigenfunctions system of the Sturm–Liouville problem
title_fullStr On the generalized eigenfunctions system of the Sturm–Liouville problem
title_full_unstemmed On the generalized eigenfunctions system of the Sturm–Liouville problem
title_sort on the generalized eigenfunctions system of the sturm–liouville problem
publisher Vilnius University Press
series Lietuvos Matematikos Rinkinys
issn 0132-2818
2335-898X
publishDate 2008-12-01
description In this paperwe investigate eigenfunctions and generalized eigenfunctions system of the Sturm– Liouville problem with classical boundary condition on the left boundary and nonlocal boundary conditions of four types on the right boundary.
topic Sturm–Liouville problem
generalized eigenfunctions
nonlocal boundary conditions
url https://www.journals.vu.lt/LMR/article/view/14655
work_keys_str_mv AT sigitapeciulyte onthegeneralizedeigenfunctionssystemofthesturmliouvilleproblem
AT arturasstikonas onthegeneralizedeigenfunctionssystemofthesturmliouvilleproblem
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