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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2020-07-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8156 |
| _version_ | 1797830531707043840 |
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| author | Lingju Kong Min Wang |
| author_facet | Lingju Kong Min Wang |
| author_sort | Lingju Kong |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-09T13:37:37Z |
| format | Article |
| id | doaj.art-b354a4ca00b44cc8ad48798b89d04199 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:37:37Z |
| publishDate | 2020-07-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-b354a4ca00b44cc8ad48798b89d041992023-05-09T07:53:10ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752020-07-0120204711310.14232/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¶mtipus_ertek=publication¶m_ertek=8156discrete boundary value problemmixed periodic boundary conditionsvariational methodsmountain pass lemmalagrange multiplier |
| 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 |
| title | 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_short | 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 |
| 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¶mtipus_ertek=publication¶m_ertek=8156 |
| work_keys_str_mv | AT lingjukong multipleandparticularsolutionsofasecondorderdiscreteboundaryvalueproblemwithmixedperiodicboundaryconditions AT minwang multipleandparticularsolutionsofasecondorderdiscreteboundaryvalueproblemwithmixedperiodicboundaryconditions |