General decay for viscoelastic plate equation with p-Laplacian and time-varying delay

General decay for viscoelastic plate equation with p-Laplacian and time-varying delay

In this paper we study the viscoelastic plate equation with p -Laplacian and time-varying delay. We establish a general decay rate result under some restrictions on the coefficients of strong damping and strong time-varying delay and weakening the usual assumptions on the relaxation function, using...

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Veröffentlicht in:Boundary value problems 2018-04, Vol.2018 (1), p.1-11, Article 29
1. Verfasser: Kang, Jum-Ran
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Approximations and Expansions
Decay rate
Delay
Difference and Functional Equations
Energy consumption
General decay rate
Mathematics
Mathematics and Statistics
Memory
Ordinary Differential Equations
p-Laplacian
Partial Differential Equations
Perturbation methods
Plate equation
Time-varying delay
Viscoelasticity
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Beschreibung
Zusammenfassung:In this paper we study the viscoelastic plate equation with p -Laplacian and time-varying delay. We establish a general decay rate result under some restrictions on the coefficients of strong damping and strong time-varying delay and weakening the usual assumptions on the relaxation function, using the energy perturbation method.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-018-0942-x