A survey on stationary problems, Green's functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions

In this paper, we present a survey of recent results on the Green's functions and on spectrum for stationary problems with nonlocal boundary conditions. Results of Lithuanian mathematicians in the field of differential and numerical problems with nonlocal boundary conditions are described....

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Main Author: Artūras Štikonas
Format: Article
Language:English
Published: Vilnius University Press 2014-10-01
Series:Nonlinear Analysis
Subjects:
Online Access:https://www.journals.vu.lt/nonlinear-analysis/article/view/13638
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author Artūras Štikonas
author_facet Artūras Štikonas
author_sort Artūras Štikonas
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description In this paper, we present a survey of recent results on the Green's functions and on spectrum for stationary problems with nonlocal boundary conditions. Results of Lithuanian mathematicians in the field of differential and numerical problems with nonlocal boundary conditions are described. *The research was partially supported by the Research Council of Lithuania (grant No. MIP-047/2014).
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spelling doaj.art-1206c5b85bbf46619d9ff9248282d49d2023-02-08T21:00:50ZengVilnius University PressNonlinear Analysis1392-51132335-89632014-10-0119310.15388/NA.2014.3.1A survey on stationary problems, Green's functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditionsArtūras Štikonas0Vilnius University In this paper, we present a survey of recent results on the Green's functions and on spectrum for stationary problems with nonlocal boundary conditions. Results of Lithuanian mathematicians in the field of differential and numerical problems with nonlocal boundary conditions are described. *The research was partially supported by the Research Council of Lithuania (grant No. MIP-047/2014). https://www.journals.vu.lt/nonlinear-analysis/article/view/13638nonlocal boundary conditionsGreen's functionSturm–Liouville problemspectrumstationary problem
spellingShingle Artūras Štikonas
A survey on stationary problems, Green's functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions
Nonlinear Analysis
nonlocal boundary conditions
Green's function
Sturm–Liouville problem
spectrum
stationary problem
title A survey on stationary problems, Green's functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions
title_full A survey on stationary problems, Green's functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions
title_fullStr A survey on stationary problems, Green's functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions
title_full_unstemmed A survey on stationary problems, Green's functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions
title_short A survey on stationary problems, Green's functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions
title_sort survey on stationary problems green s functions and spectrum of sturm liouville problem with nonlocal boundary conditions
topic nonlocal boundary conditions
Green's function
Sturm–Liouville problem
spectrum
stationary problem
url https://www.journals.vu.lt/nonlinear-analysis/article/view/13638
work_keys_str_mv AT arturasstikonas asurveyonstationaryproblemsgreensfunctionsandspectrumofsturmliouvilleproblemwithnonlocalboundaryconditions
AT arturasstikonas surveyonstationaryproblemsgreensfunctionsandspectrumofsturmliouvilleproblemwithnonlocalboundaryconditions