弹性弦阻尼非线性振动的一致稳定性
Uniform stability of damped nonlinear vibrations of an elastic string
摘要：
本文研究两端固定的弹性弦的有阻尼非线性横向振动的一致稳定性。本文证明了由Kirchoff型非线性积分微分方程所控制的振动，其能量一致有界，且随时间呈指数衰减。结果是通过考虑系统的能量类李雅普诺夫泛函。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
