Uniform Stability of Damped Nonlinear Vibrations of an Elastic String

Proceedings Mathematical Sciences

Ganesh C Gorain¹  Sujit K Bose² 

[1] Department of Mathematics, J.K. College, Purulia 0, India$$;BE , Salt Lake City, Kolkata 00 0, India$$

关键词: Uniform stability;    Kirchoff type wave equation;    Lyapunov functional;    exponential energy decay.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown