期刊论文详细信息
Proceedings Mathematical Sciences | |
Uniform Stability of Damped Nonlinear Vibrations of an Elastic String | |
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
【 预 览 】
Files | Size | Format | View |
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RO201912040506631ZK.pdf | 61KB | download |