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Existence and energy decay of a nonuniform Timoshenko system with second sound
In this paper, we consider a linear thermoelastic Timoshenko system with variable physical parameters, where the heat conduction is given by...
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Stability analysis of an interactive system of wave equation and heat equation with memory
This paper is devoted to the stability analysis of an interaction system comprised of a wave equation and a heat equation with memory, where the...
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Asymptotic behavior of second sound thermoelasticity with internal time-varying delay
In this paper, we consider a thermoelastic system of second sound with internal time-varying delay. Under suitable assumption on the weight of the...
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Boundary stabilization of memory-type thermoelasticity with second sound
In this paper, we consider an n-dimensional thermoelastic system of second sound with a viscoelastic dam** localized on a part of the boundary. We...
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Longtime behavior of the hyperbolic equations with an arbitrary internal dam**
This paper is devoted to a study of the longtime behavior of the hyperbolic equations with an arbitrary internal dam**, under sharp regularity...
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General boundary stabilization of memory type in thermoelasticity of type III
In this paper, we consider a multi-dimensional system of thermoelasticity type III with a viscoelastic dam** acting on a part of the boundary. We...
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Exponential stability of an elastic string with local Kelvin–Voigt dam**
This paper is devoted to analyzing an elastic string with local Kelvin–Voigt dam**. We prove the exponential stability of the system when the...
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Decay rates at low and high frequencies for a plate equation with feedback concentrated in interior curves
In this paper we study the stabilization of plate vibrations by means of piezoelectric actuators. In this situation the geometric control condition...
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Differential equations, hysteresis, and time delay
We consider an ordinary differential equation with hysteresis and time delay in the hysteresis term and also a partial differential equation with...
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Exponential decay of energy of vibrating strings with local viscoelasticity
In our previous paper [11], we studied the energy decay rate for an one-dimensional linear wave equation with the Kelvin-Voigt dam** presented on...