Eigenvalue problems for singular multi-point dynamic equations on time scales

In this article, we study a singular multi-point dynamic eigenvalue problem on time scales. We find existence of positive solutions by constructing the Green's function and studying its positivity eigenvalue intervals. Two examples are given to illustrate our results.

Bibliographic Details
Main Author: Abdulkadir Dogan
Format: Article
Language:English
Published: Texas State University 2017-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/37/abstr.html
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spelling doaj-6b603924338746d19878192a8652c1b52020-11-24T21:15:28ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-02-01201737,113Eigenvalue problems for singular multi-point dynamic equations on time scalesAbdulkadir Dogan0 Abdullah Gul Univ., Kayseri, Turkey In this article, we study a singular multi-point dynamic eigenvalue problem on time scales. We find existence of positive solutions by constructing the Green's function and studying its positivity eigenvalue intervals. Two examples are given to illustrate our results.http://ejde.math.txstate.edu/Volumes/2017/37/abstr.html34B15, 34B16, 34B18, 39A10
collection DOAJ
language English
format Article
sources DOAJ
author Abdulkadir Dogan
spellingShingle Abdulkadir Dogan
Eigenvalue problems for singular multi-point dynamic equations on time scales
Electronic Journal of Differential Equations
34B15, 34B16, 34B18, 39A10
author_facet Abdulkadir Dogan
author_sort Abdulkadir Dogan
title Eigenvalue problems for singular multi-point dynamic equations on time scales
title_short Eigenvalue problems for singular multi-point dynamic equations on time scales
title_full Eigenvalue problems for singular multi-point dynamic equations on time scales
title_fullStr Eigenvalue problems for singular multi-point dynamic equations on time scales
title_full_unstemmed Eigenvalue problems for singular multi-point dynamic equations on time scales
title_sort eigenvalue problems for singular multi-point dynamic equations on time scales
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2017-02-01
description In this article, we study a singular multi-point dynamic eigenvalue problem on time scales. We find existence of positive solutions by constructing the Green's function and studying its positivity eigenvalue intervals. Two examples are given to illustrate our results.
topic 34B15, 34B16, 34B18, 39A10
url http://ejde.math.txstate.edu/Volumes/2017/37/abstr.html
work_keys_str_mv AT abdulkadirdogan eigenvalueproblemsforsingularmultipointdynamicequationsontimescales
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