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Uniform stability of damped nonlinear vibrations of an elastic string

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Abstract

Here 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.

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Authors and Affiliations

  1. Department of Mathematics, J.K. College, 723 101, Purulia, India

    Ganesh C. Gorain & Sujit K. Bose

  2. BE 188, Salt Lake City, 700 064, Kolkata, India

    Sujit K. Bose

Authors
  1. Ganesh C. Gorain
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  2. Sujit K. Bose
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Gorain, G.C., Bose, S.K. Uniform stability of damped nonlinear vibrations of an elastic string. Proc. Indian Acad. Sci. (Math. Sci.) 113, 443–449 (2003). https://doi.org/10.1007/BF02829635

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  • DOI: https://doi.org/10.1007/BF02829635

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