Well-posedness and exponential stability for the logarithmic Lamé system with a time varying delay.
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| Title: | Well-posedness and exponential stability for the logarithmic Lamé system with a time varying delay. |
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| Authors: | Yazid, Fares1, Boulaaras, Salah2 s.boularas@qu.edu.sa, Shahrouzi, Mohammad3 |
| Source: | Mathematical Modelling & Analysis. 2026, Vol. 31 Issue 2, p194-213. 20p. |
| Subjects: | Time delay systems, Exponential stability, Initial value problems, Semigroups (Algebra), Uniqueness (Mathematics), Damping (Mechanics) |
| Abstract: | The focus of this paper revolves around the initial--boundary value problem associated with a logarithmic Lamé system within a bounded domain, and incorporating a time-varying delay. We demonstrate the system's well-posedness through the application of semigroup theory. Subsequently, we establish the existence of global solutions by employing the well-depth method. Furthermore, we establish exponential decay of solutions under adequate constraints concerning the weight of the time-varying delay and the frictional damping. [ABSTRACT FROM AUTHOR] |
| Copyright of Mathematical Modelling & Analysis is the property of Vilnius Gediminas Technical University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193458062 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Well-posedness and exponential stability for the logarithmic Lamé system with a time varying delay. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Yazid%2C+Fares%22">Yazid, Fares</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Boulaaras%2C+Salah%22">Boulaaras, Salah</searchLink><relatesTo>2</relatesTo><i> s.boularas@qu.edu.sa</i><br /><searchLink fieldCode="AR" term="%22Shahrouzi%2C+Mohammad%22">Shahrouzi, Mohammad</searchLink><relatesTo>3</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Mathematical+Modelling+%26+Analysis%22">Mathematical Modelling & Analysis</searchLink>. 2026, Vol. 31 Issue 2, p194-213. 20p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Time+delay+systems%22">Time delay systems</searchLink><br /><searchLink fieldCode="DE" term="%22Exponential+stability%22">Exponential stability</searchLink><br /><searchLink fieldCode="DE" term="%22Initial+value+problems%22">Initial value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Semigroups+%28Algebra%29%22">Semigroups (Algebra)</searchLink><br /><searchLink fieldCode="DE" term="%22Uniqueness+%28Mathematics%29%22">Uniqueness (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Damping+%28Mechanics%29%22">Damping (Mechanics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The focus of this paper revolves around the initial--boundary value problem associated with a logarithmic Lamé system within a bounded domain, and incorporating a time-varying delay. We demonstrate the system's well-posedness through the application of semigroup theory. Subsequently, we establish the existence of global solutions by employing the well-depth method. Furthermore, we establish exponential decay of solutions under adequate constraints concerning the weight of the time-varying delay and the frictional damping. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Mathematical Modelling & Analysis is the property of Vilnius Gediminas Technical University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3846/mma.2026.24819 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 194 Subjects: – SubjectFull: Time delay systems Type: general – SubjectFull: Exponential stability Type: general – SubjectFull: Initial value problems Type: general – SubjectFull: Semigroups (Algebra) Type: general – SubjectFull: Uniqueness (Mathematics) Type: general – SubjectFull: Damping (Mechanics) Type: general Titles: – TitleFull: Well-posedness and exponential stability for the logarithmic Lamé system with a time varying delay. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Yazid, Fares – PersonEntity: Name: NameFull: Boulaaras, Salah – PersonEntity: Name: NameFull: Shahrouzi, Mohammad IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: 2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 13926292 Numbering: – Type: volume Value: 31 – Type: issue Value: 2 Titles: – TitleFull: Mathematical Modelling & Analysis Type: main |
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