Existence and exponential stability for the wave equation with nonlinear interior source and localized viscoelastic boundary feedback
In this work, we aim to investigate an integro-differential model that involves localized viscoelastic effects at the boundary of the domain under the history framework. We have established that the equation is well-posed and exhibits exponential stability when a localized admissible kernel is appli...
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| Format: | Article |
| Language: | English |
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University of Szeged
2024-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11020 |
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| _version_ | 1846091055242412032 |
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| author | Josiane Faria |
| author_facet | Josiane Faria |
| author_sort | Josiane Faria |
| collection | DOAJ |
| description | In this work, we aim to investigate an integro-differential model that involves localized viscoelastic effects at the boundary of the domain under the history framework. We have established that the equation is well-posed and exhibits exponential stability when a localized admissible kernel is applied, along with the $\delta$-condition. |
| format | Article |
| id | doaj-art-fd7fd55dea804e5a90f041550ef14b25 |
| institution | Kabale University |
| issn | 1417-3875 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj-art-fd7fd55dea804e5a90f041550ef14b252025-01-15T21:24:58ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752024-08-0120244711810.14232/ejqtde.2024.1.4711020Existence and exponential stability for the wave equation with nonlinear interior source and localized viscoelastic boundary feedbackJosiane Faria0State University of Maringá, Maringá, PR, BrazilIn this work, we aim to investigate an integro-differential model that involves localized viscoelastic effects at the boundary of the domain under the history framework. We have established that the equation is well-posed and exhibits exponential stability when a localized admissible kernel is applied, along with the $\delta$-condition.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11020wave equationlocalized boundary feedbackexponential stability |
| spellingShingle | Josiane Faria Existence and exponential stability for the wave equation with nonlinear interior source and localized viscoelastic boundary feedback Electronic Journal of Qualitative Theory of Differential Equations wave equation localized boundary feedback exponential stability |
| title | Existence and exponential stability for the wave equation with nonlinear interior source and localized viscoelastic boundary feedback |
| title_full | Existence and exponential stability for the wave equation with nonlinear interior source and localized viscoelastic boundary feedback |
| title_fullStr | Existence and exponential stability for the wave equation with nonlinear interior source and localized viscoelastic boundary feedback |
| title_full_unstemmed | Existence and exponential stability for the wave equation with nonlinear interior source and localized viscoelastic boundary feedback |
| title_short | Existence and exponential stability for the wave equation with nonlinear interior source and localized viscoelastic boundary feedback |
| title_sort | existence and exponential stability for the wave equation with nonlinear interior source and localized viscoelastic boundary feedback |
| topic | wave equation localized boundary feedback exponential stability |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11020 |
| work_keys_str_mv | AT josianefaria existenceandexponentialstabilityforthewaveequationwithnonlinearinteriorsourceandlocalizedviscoelasticboundaryfeedback |