Results of the asymptotic behavior for a viscoelastic wave equation with nonlinear distributed delay and acoustic conditions in boundary feedback

This study is concerned with a nonlinear viscoelastic wave equation. Assuming the nonlinear distributed delay feedback influences the boundary coupling through the acoustic boundary conditions. Under suitable assumptions and for the general case of the kernel, we prove the asymptotic behavior of sol...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2024; no. 1; pp. 156 - 18
Main Authors Choucha, Abdelbaki, Boulaaras, Salah, Jan, Rashid, Tahat, Ayser Nasir
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 12.12.2024
Springer Nature B.V
SpringerOpen
Subjects
Acoustics
Analysis
Applications of Mathematics
Asymptotic behavior
Asymptotic properties
Boundary conditions
Feedback
Mathematics
Mathematics and Statistics
Nonlinear distributed delay
Nonlinear equations
Partial differential equations
Viscoelastic term
Viscoelasticity
Wave equation
Wave equations
Wave equation
Nonlinear equations
93D20
Partial differential equations
35L70
Acoustic boundary
76Exx
Asymptotic behavior
Nonlinear distributed delay
35B40
Viscoelastic term
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Summary:This study is concerned with a nonlinear viscoelastic wave equation. Assuming the nonlinear distributed delay feedback influences the boundary coupling through the acoustic boundary conditions. Under suitable assumptions and for the general case of the kernel, we prove the asymptotic behavior of solutions.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-024-03241-y