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A stability result of a Timoshenko system in thermoelasticity of second sound with a delay term in the internal feedback
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Djamel Ouchenane
Published/Copyright:
November 12, 2014
Abstract
In this paper, we consider a one-dimensional linear thermoelastic system of Timoshenko type with a delay term in the feedback. The heat conduction is given by Cattaneo's law. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem. Furthermore, an exponential stability result is shown without the usual assumption on the wave speeds. To achieve our goals, we make use of the semigroup method and the energy method.
The author thanks his Ph.D. advisor Dr. Belkacem Said-Houari for many stimulating discussions and helpful comments.
Received: 2013-1-27
Accepted: 2013-11-8
Published Online: 2014-11-12
Published in Print: 2014-12-1
© 2014 by De Gruyter
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- A stability result of a Timoshenko system in thermoelasticity of second sound with a delay term in the internal feedback
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Keywords for this article
Exponential decay;
linear damping;
Timoshenko;
thermoelasticity;
second sound
Articles in the same Issue
- Frontmatter
- Existence of positive solutions for a class of fractional differential equation systems with multi-point boundary conditions
- Two-quadratic modules and cofibration category
- Solutions of integro-differential equations related to contact problems of viscoelasticity
- Some Tauberian conditions obtained through weighted generator sequences
- On improvements of Opial-type inequalities
- Connections between the iterated (anti)derivatives of es·x1/2 with respect to x and spherical modified Bessel functions of second kind
- Analysis and approximation of frictionless contact problems between two piezoelectric bodies with adhesion
- Maximal and Calderón–Zygmund operators in grand variable exponent Lebesgue spaces
- The stability of some generalization of the quadratic functional equation
- A stability result of a Timoshenko system in thermoelasticity of second sound with a delay term in the internal feedback
- An Ostrowski type inequality for derivatives of q-th power of s-convex functions via fractional integrals
- A new class of Tricomi–Legendre–Hermite and related polynomials
- A note on the norm convergence by Vilenkin–Fejér means
