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Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Prasanta Kumar Nandi, Ganesh Chandra Gorain, Samarjit Kar (2014)
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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...
Liu, Changchun, Guan, Yujing, Wang, Zhao (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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