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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Portugaliae Mathematica
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Advances in Difference Equations [electronic only]
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Abstract and Applied Analysis
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Portugaliae Mathematica
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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...