Boundary stabilization of memory type for the porous-thermo-elasticity system.
Soufyane, Abdelaziz, Afilal, Mounir, Chacha, Mama (2009)
Abstract and Applied Analysis
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Soufyane, Abdelaziz, Afilal, Mounir, Chacha, Mama (2009)
Abstract and Applied Analysis
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de Lima Santos, Mauro (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Ha, Tae Gab, Park, Jong Yeoul (2010)
Boundary Value Problems [electronic only]
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Santos, M.L., Rocha, M.P.C., Pereira, D.C., Ferreira, J. (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Tatar, Nasser-Eddine (2005)
International Journal of Mathematics and Mathematical Sciences
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Prasanta Kumar Nandi, Ganesh Chandra Gorain, Samarjit Kar (2014)
Applications of Mathematics
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In this paper we consider the boundary value problem of some nonlinear Kirchhoff-type equation with dissipation. We also estimate the total energy of the system over any time interval with a tolerance level . The amplitude of such vibrations is bounded subject to some restrictions on the uncertain disturbing force . After constructing suitable Lyapunov functional, uniform decay of solutions is established by means of an exponential energy decay estimate when the uncertain disturbances...
Kirane, Mokhtar, Tatar, Nasser-eddine (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Límaco, J., Clark, H.R., Medeiros, L.A. (2003)
International Journal of Mathematics and Mathematical Sciences
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G. Perla Menzala, Ademir F. Pazoto, Enrique Zuazua (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We consider a dynamical one-dimensional nonlinear von Kármán model for beams depending on a parameter and study its asymptotic behavior for large, as . Introducing appropriate damping mechanisms we show that the energy of solutions of the corresponding damped models decay exponentially uniformly with respect to the parameter . In order for this to be true the damping mechanism has to have the appropriate scale with respect to . In the limit as we obtain damped Berger–Timoshenko...
Ma, Zhiyong (2010)
Advances in Difference Equations [electronic only]
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