Exponential decay in a delayed wave equation with variable coefficients

Waled Al-Khulaifi; Manal Alotibi; Nasser Eddine Tatar

doi:10.3934/math.20241348

Exponential decay in a delayed wave equation with variable coefficients

Waled Al-Khulaifi^*, Manal Alotibi, Nasser Eddine Tatar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We establish an exponential stability result for a wave equation that includes weighted coefficients of structural damping and a delayed term. This study reveals cases where the delayed term may not be dominated by the damping term, yet the system is exponentially stable. Our coefficients do not obey necessarily the conditions that are usually imposed in the literature.

Original language	English
Pages (from-to)	27770-27783
Number of pages	14
Journal	AIMS Mathematics
Volume	9
Issue number	10
DOIs	https://doi.org/10.3934/math.20241348
State	Published - 2024

Bibliographical note

Publisher Copyright:
© 2024 the Author(s), licensee AIMS Press.

Keywords

energy decay
exponential stability
strong damping
time delay
wave equation

ASJC Scopus subject areas

General Mathematics

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10.3934/math.20241348

Cite this

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title = "Exponential decay in a delayed wave equation with variable coefficients",

abstract = "We establish an exponential stability result for a wave equation that includes weighted coefficients of structural damping and a delayed term. This study reveals cases where the delayed term may not be dominated by the damping term, yet the system is exponentially stable. Our coefficients do not obey necessarily the conditions that are usually imposed in the literature.",

keywords = "energy decay, exponential stability, strong damping, time delay, wave equation",

author = "Waled Al-Khulaifi and Manal Alotibi and Tatar, \{Nasser Eddine\}",

note = "Publisher Copyright: {\textcopyright} 2024 the Author(s), licensee AIMS Press.",

year = "2024",

doi = "10.3934/math.20241348",

language = "English",

volume = "9",

pages = "27770--27783",

journal = "AIMS Mathematics",

issn = "2473-6988",

publisher = "American Institute of Mathematical Sciences",

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TY - JOUR

T1 - Exponential decay in a delayed wave equation with variable coefficients

AU - Al-Khulaifi, Waled

AU - Alotibi, Manal

AU - Tatar, Nasser Eddine

PY - 2024

Y1 - 2024

N2 - We establish an exponential stability result for a wave equation that includes weighted coefficients of structural damping and a delayed term. This study reveals cases where the delayed term may not be dominated by the damping term, yet the system is exponentially stable. Our coefficients do not obey necessarily the conditions that are usually imposed in the literature.

AB - We establish an exponential stability result for a wave equation that includes weighted coefficients of structural damping and a delayed term. This study reveals cases where the delayed term may not be dominated by the damping term, yet the system is exponentially stable. Our coefficients do not obey necessarily the conditions that are usually imposed in the literature.

KW - energy decay

KW - exponential stability

KW - strong damping

KW - time delay

KW - wave equation

UR - https://www.scopus.com/pages/publications/85205532265

U2 - 10.3934/math.20241348

DO - 10.3934/math.20241348

M3 - Article

AN - SCOPUS:85205532265

SN - 2473-6988

VL - 9

SP - 27770

EP - 27783

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 10

ER -

Exponential decay in a delayed wave equation with variable coefficients

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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