General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping

2009 ◽  
Vol 32 (16) ◽  
pp. 2102-2122 ◽  
Author(s):  
Aissa Guesmia ◽  
Salim A. Messaoudi
Keyword(s):  
Energy Decay ◽  
Viscoelastic Damping ◽  
Decay Estimates ◽  
General Energy ◽  
Timoshenko Systems

scholarly journals Polynomial Decay Rate for a Coupled Lamé System with Viscoelastic Damping and Distributed Delay Terms

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Nadjat Doudi ◽  
Salah Mahmoud Boulaaras ◽  
Ahmad Mohammed Alghamdi ◽  
Bahri Cherif
Keyword(s):  
Lyapunov Functional ◽  
Distributed Delay ◽  
Energy Decay ◽  
Polynomial Decay ◽  
Viscoelastic Damping ◽  
Lamé System ◽  
Relaxation Functions ◽  
General Energy ◽  
Lame System ◽  
Distributed Time Delay

In this paper, we prove a general energy decay results of a coupled Lamé system with distributed time delay. By assuming a more general of relaxation functions and using some properties of convex functions, we establish the general energy decay results to the system by using an appropriate Lyapunov functional.

scholarly journals General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan-Taylor damping with nonlinear delay and acoustic boundary conditions

2021 ◽  
Author(s):  
Mi Jin Lee ◽  
Jong-Yeoul Park ◽  
Jum-Ran Kang
Keyword(s):  
Boundary Conditions ◽  
Energy Decay ◽  
General Decay ◽  
Lyapunov Functionals ◽  
Decay Estimates ◽  
Acoustic Boundary Conditions ◽  
Kirchhoff Type ◽  
General Energy ◽  
Viscoelastic Equation ◽  
Nonlinear Delay

In this paper, we consider the general energy decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan-Taylor damping with nonlinear delay and acoustic boundary conditions. By introducing suitable energy and Lyapunov functionals, we establish the general decay estimates for the energy, which depends on the behavior of both sigma and g.

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