Multiple and particular solutions of a second order discrete boundary value problem with mixed periodic boundary conditions

In this paper, a second order discrete boundary value problem with a pair of mixed periodic boundary conditions is considered. Sufficient conditions on the existence of multiple solutions are obtained by using the critical point theory. Necessary conditions for a particular solution subject to pre-d...

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Main Authors:	Lingju Kong, Min Wang
Format:	Article
Language:	English
Published:	University of Szeged 2020-07-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Subjects:	discrete boundary value problem mixed periodic boundary conditions variational methods mountain pass lemma lagrange multiplier
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8156

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record_format	Article
spelling	doaj-b354a4ca00b44cc8ad48798b89d041992021-07-14T07:21:33ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752020-07-0120204711310.14232/ejqtde.2020.1.478156Multiple and particular solutions of a second order discrete boundary value problem with mixed periodic boundary conditionsLingju Kong0Min Wang1University of of Tennessee at Chattanooga, TN, USAKennesaw State University, Marietta, GA, USAIn this paper, a second order discrete boundary value problem with a pair of mixed periodic boundary conditions is considered. Sufficient conditions on the existence of multiple solutions are obtained by using the critical point theory. Necessary conditions for a particular solution subject to pre-defined criteria are also investigated. Examples are given to illustrate the applications of the results as well.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8156discrete boundary value problemmixed periodic boundary conditionsvariational methodsmountain pass lemmalagrange multiplier
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Lingju Kong Min Wang
spellingShingle	Lingju Kong Min Wang Multiple and particular solutions of a second order discrete boundary value problem with mixed periodic boundary conditions Electronic Journal of Qualitative Theory of Differential Equations discrete boundary value problem mixed periodic boundary conditions variational methods mountain pass lemma lagrange multiplier
author_facet	Lingju Kong Min Wang
author_sort	Lingju Kong
title	Multiple and particular solutions of a second order discrete boundary value problem with mixed periodic boundary conditions
title_short	Multiple and particular solutions of a second order discrete boundary value problem with mixed periodic boundary conditions
title_full	Multiple and particular solutions of a second order discrete boundary value problem with mixed periodic boundary conditions
title_fullStr	Multiple and particular solutions of a second order discrete boundary value problem with mixed periodic boundary conditions
title_full_unstemmed	Multiple and particular solutions of a second order discrete boundary value problem with mixed periodic boundary conditions
title_sort	multiple and particular solutions of a second order discrete boundary value problem with mixed periodic boundary conditions
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2020-07-01
description	In this paper, a second order discrete boundary value problem with a pair of mixed periodic boundary conditions is considered. Sufficient conditions on the existence of multiple solutions are obtained by using the critical point theory. Necessary conditions for a particular solution subject to pre-defined criteria are also investigated. Examples are given to illustrate the applications of the results as well.
topic	discrete boundary value problem mixed periodic boundary conditions variational methods mountain pass lemma lagrange multiplier
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8156
work_keys_str_mv	AT lingjukong multipleandparticularsolutionsofasecondorderdiscreteboundaryvalueproblemwithmixedperiodicboundaryconditions AT minwang multipleandparticularsolutionsofasecondorderdiscreteboundaryvalueproblemwithmixedperiodicboundaryconditions
_version_	1721303392490356736

Multiple and particular solutions of a second order discrete boundary value problem with mixed periodic boundary conditions

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