General Stability for the Viscoelastic Wave Equation with Nonlinear Time-Varying Delay, Nonlinear Damping and Acoustic Boundary Conditions

General Stability for the Viscoelastic Wave Equation with Nonlinear Time-Varying Delay, Nonlinear Damping and Acoustic Boundary Conditions

This paper is focused on energy decay rates for the viscoelastic wave equation that includes nonlinear time-varying delay, nonlinear damping at the boundary, and acoustic boundary conditions. We derive general decay rate results without requiring the condition <inline-formula><math xmlns=&q...

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Bibliographic Details
Main Authors: Mi Jin Lee, Jum-Ran Kang
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Mathematics
Subjects:
optimal decay
viscoelastic wave equation
nonlinear time-varying delay
nonlinear damping
acoustic boundary conditions
Online Access:https://www.mdpi.com/2227-7390/11/22/4593

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