Multiple solutions to a quasilinear periodic boundary value problem with impulsive effects
The authors investigate the multiplicity of solutions to a quasilinear periodic boundary value problem with impulsive effects. They use variational methods and some critical points theorems for smooth functionals, due to Ricceri, that are defined on reflexive Banach spaces. They obtain the existence...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2024-02-01
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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=10829 |
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| _version_ | 1841533463127130112 |
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| author | John Graef Shapour Heidarkhani Lingju Kong Shahin Moradi |
| author_facet | John Graef Shapour Heidarkhani Lingju Kong Shahin Moradi |
| author_sort | John Graef |
| collection | DOAJ |
| description | The authors investigate the multiplicity of solutions to a quasilinear periodic boundary value problem with impulsive effects. They use variational methods and some critical points theorems for smooth functionals, due to Ricceri, that are defined on reflexive Banach spaces. They obtain the existence of at least three solutions to the problem. The applicability of the results is illustrated with an example. |
| format | Article |
| id | doaj-art-107f4545ed1548ffa062f75d7a30bd1f |
| institution | Kabale University |
| issn | 1417-3875 |
| language | English |
| publishDate | 2024-02-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj-art-107f4545ed1548ffa062f75d7a30bd1f2025-01-15T21:24:58ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752024-02-0120241211810.14232/ejqtde.2024.1.1210829Multiple solutions to a quasilinear periodic boundary value problem with impulsive effectsJohn Graef0https://orcid.org/0000-0002-8149-4633Shapour HeidarkhaniLingju Kong1Shahin Moradi2University of Tennessee at Chattanooga, Chattanooga, TN, U.S.A.Razi University, Kermanshah, IranRazi University, Kermanshah, IranThe authors investigate the multiplicity of solutions to a quasilinear periodic boundary value problem with impulsive effects. They use variational methods and some critical points theorems for smooth functionals, due to Ricceri, that are defined on reflexive Banach spaces. They obtain the existence of at least three solutions to the problem. The applicability of the results is illustrated with an example.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10829three solutionsquasilinear periodicboundary value problemimpulsive effectsvariational methods |
| spellingShingle | John Graef Shapour Heidarkhani Lingju Kong Shahin Moradi Multiple solutions to a quasilinear periodic boundary value problem with impulsive effects Electronic Journal of Qualitative Theory of Differential Equations three solutions quasilinear periodic boundary value problem impulsive effects variational methods |
| title | Multiple solutions to a quasilinear periodic boundary value problem with impulsive effects |
| title_full | Multiple solutions to a quasilinear periodic boundary value problem with impulsive effects |
| title_fullStr | Multiple solutions to a quasilinear periodic boundary value problem with impulsive effects |
| title_full_unstemmed | Multiple solutions to a quasilinear periodic boundary value problem with impulsive effects |
| title_short | Multiple solutions to a quasilinear periodic boundary value problem with impulsive effects |
| title_sort | multiple solutions to a quasilinear periodic boundary value problem with impulsive effects |
| topic | three solutions quasilinear periodic boundary value problem impulsive effects variational methods |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10829 |
| work_keys_str_mv | AT johngraef multiplesolutionstoaquasilinearperiodicboundaryvalueproblemwithimpulsiveeffects AT shapourheidarkhani multiplesolutionstoaquasilinearperiodicboundaryvalueproblemwithimpulsiveeffects AT lingjukong multiplesolutionstoaquasilinearperiodicboundaryvalueproblemwithimpulsiveeffects AT shahinmoradi multiplesolutionstoaquasilinearperiodicboundaryvalueproblemwithimpulsiveeffects |