Uniform stability of damped nonlinear vibrations of an elastic string

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dc.creatorGorain, Ganesh C
dc.creatorBose, Sujit K
dc.date2003-11-28
dc.date.accessioned2026-07-07T05:03:22Z
dc.date.available2026-07-07T05:03:22Z
dc.descriptionHere we are concerned about uniform stability of damped nonlinear transverse vibrations of an elastic string fixed at its two ends. The vibrations governed by nonlinear integro-differential equation of Kirchoff type, is shown to possess energy uniformly bounded by exponentially decaying function of time. The result is achieved by considering an energy-like Lyapunov functional for the system.
dc.description7 pages, no figures, no tables
dc.identifierhttps://arxiv.org/abs/math/0311527
dc.identifierhttp://arxiv.org/abs/math/0311527
dc.identifierProc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 4, November 2003, pp. 443-449
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69392
dc.subjectOptimization and Control
dc.titleUniform stability of damped nonlinear vibrations of an elastic string
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