Scholarlink

<p>We consider the nonautonomous viscoelastic wave equation with analytic nonlinearity and time varying delay. By construction of a suitable Lyapunov energy and by using the Łojasiewicz-Simon inequality we show that, when the amplitude of the time delay is small enough, the dissipation given by the viscoelastic term is strong enough to prove the convergence to equilibrium as well as estimates for the rate of convergence for any global bounded solution.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Long-Time Stabilization of Solutions to the Semilinear Viscoelastic Wave Equation with Analytic Nonlinearity and Time Varying Delay

  • 期刊论文

  • 发表日期：

    2025年6月9日

查看全文
  • Hassan Yassine

摘要

We consider the nonautonomous viscoelastic wave equation with analytic nonlinearity and time varying delay. By construction of a suitable Lyapunov energy and by using the Łojasiewicz-Simon inequality we show that, when the amplitude of the time delay is small enough, the dissipation given by the viscoelastic term is strong enough to prove the convergence to equilibrium as well as estimates for the rate of convergence for any global bounded solution.