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General decay for a
viscoelastic equation with time-varying delay in the boundary
feedback condition
Abita Rahmoune
Vol. 9 (2021), No. 2, 127–142
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Abstract |
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This paper is devoted to the study of the weak viscoelastic equation with memory and nonlinear time-varying delay in the boundary feedback condition. To this aim, we consider a mathematical model which describes the viscoelastic system with memory in a bounded domain. We establish the general decay estimate for the energy by introducing suitable Lyapunov functionals. |
Keywords
general decay, weak viscoelastic equation, time-varying
delay
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Mathematical Subject Classification
Primary: 35L70, 35B40
Secondary: 93D15
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Milestones
Received: 4 July 2020
Revised: 24 October 2020
Accepted: 16 February 2021
Published: 17 April 2021
Communicated by Victor A. Eremeyev
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Authors |
| Abita Rahmoune | |
| Department of Technical
Sciences University of Laghouat Laghouat Algeria |
Laboratory of Pure and Applied
Mathematics University of Laghouat Laghouat Algeria |
