A Stability Result for a Viscoelastic Wave Equation in the Presence of Finite and Infinite Memories
In this study, we consider a viscoelastic wave equation in the presence of finite and infinite memories. Under suitable conditions on the variable coefficients and for a wide class of relaxation functions, we establish an explicit and general decay result. Moreover, we use a weaker boundedness condi...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2697155 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554959704424448 |
|---|---|
| author | Adel M. Al-Mahdi Mohammad M. Al-Gharabli Mohammad Kafini Shadi Al-Omari |
| author_facet | Adel M. Al-Mahdi Mohammad M. Al-Gharabli Mohammad Kafini Shadi Al-Omari |
| author_sort | Adel M. Al-Mahdi |
| collection | DOAJ |
| description | In this study, we consider a viscoelastic wave equation in the presence of finite and infinite memories. Under suitable conditions on the variable coefficients and for a wide class of relaxation functions, we establish an explicit and general decay result. Moreover, we use a weaker boundedness condition, on the initial data than the one used in the literature. The proof of our decay result is based on the multiplier method together with some convexity arguments. This study generalizes and improves previous literature outcomes. |
| format | Article |
| id | doaj-art-48f0420ee4294efea48efbcc383dae24 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-48f0420ee4294efea48efbcc383dae242025-02-03T05:49:58ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2697155A Stability Result for a Viscoelastic Wave Equation in the Presence of Finite and Infinite MemoriesAdel M. Al-Mahdi0Mohammad M. Al-Gharabli1Mohammad Kafini2Shadi Al-Omari3The Preparatory Year ProgramThe Preparatory Year ProgramThe Interdisciplinary Research Center in Construction and Building MaterialsThe Preparatory Year ProgramIn this study, we consider a viscoelastic wave equation in the presence of finite and infinite memories. Under suitable conditions on the variable coefficients and for a wide class of relaxation functions, we establish an explicit and general decay result. Moreover, we use a weaker boundedness condition, on the initial data than the one used in the literature. The proof of our decay result is based on the multiplier method together with some convexity arguments. This study generalizes and improves previous literature outcomes.http://dx.doi.org/10.1155/2022/2697155 |
| spellingShingle | Adel M. Al-Mahdi Mohammad M. Al-Gharabli Mohammad Kafini Shadi Al-Omari A Stability Result for a Viscoelastic Wave Equation in the Presence of Finite and Infinite Memories Journal of Mathematics |
| title | A Stability Result for a Viscoelastic Wave Equation in the Presence of Finite and Infinite Memories |
| title_full | A Stability Result for a Viscoelastic Wave Equation in the Presence of Finite and Infinite Memories |
| title_fullStr | A Stability Result for a Viscoelastic Wave Equation in the Presence of Finite and Infinite Memories |
| title_full_unstemmed | A Stability Result for a Viscoelastic Wave Equation in the Presence of Finite and Infinite Memories |
| title_short | A Stability Result for a Viscoelastic Wave Equation in the Presence of Finite and Infinite Memories |
| title_sort | stability result for a viscoelastic wave equation in the presence of finite and infinite memories |
| url | http://dx.doi.org/10.1155/2022/2697155 |
| work_keys_str_mv | AT adelmalmahdi astabilityresultforaviscoelasticwaveequationinthepresenceoffiniteandinfinitememories AT mohammadmalgharabli astabilityresultforaviscoelasticwaveequationinthepresenceoffiniteandinfinitememories AT mohammadkafini astabilityresultforaviscoelasticwaveequationinthepresenceoffiniteandinfinitememories AT shadialomari astabilityresultforaviscoelasticwaveequationinthepresenceoffiniteandinfinitememories AT adelmalmahdi stabilityresultforaviscoelasticwaveequationinthepresenceoffiniteandinfinitememories AT mohammadmalgharabli stabilityresultforaviscoelasticwaveequationinthepresenceoffiniteandinfinitememories AT mohammadkafini stabilityresultforaviscoelasticwaveequationinthepresenceoffiniteandinfinitememories AT shadialomari stabilityresultforaviscoelasticwaveequationinthepresenceoffiniteandinfinitememories |