• Uniform stability of damped nonlinear vibrations of an elastic string

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      https://www.ias.ac.in/article/fulltext/pmsc/113/04/0443-0449

    • Keywords

       

      Uniform stability; Kirchoff type wave equation; Lyapunov functional; exponential energy decay

    • 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.

    • Author Affiliations

       

      Ganesh C Gorain1 Sujit K Bose1 2

      1. Department of Mathematics, J.K. College, Purulia - 723 101, India
      2. BE 188, Salt Lake City, Kolkata - 700 064, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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