论文标题
非线性时间延迟分散方程的稳定性的定性和数值研究
Qualitative and numerical study of the stability of a nonlinear time-delayed dispersive equation
论文作者
论文摘要
本文介绍了第四顺序的非线性时间延迟分散方程的稳定性分析。首先，我们证明了系统的适合性，并给出一些规律性的结果。然后，我们表明，当时间趋于无限时，如果时间延迟较小，并且阻尼项满足合理条件，则系统的零解决方案将指数收敛至零。最后，提出了一项密集的数值研究，并提供了稳定性结果的数值插图。
This paper deals with the stability analysis of a nonlinear time-delayed dispersive equation of order four. First, we prove the well-posedness of the system and give some regularity results. Then, we show that the zero solution of the system exponentially converges to zero when the time tends to infinity provided that the time-delay is small and the damping term satisfies reasonable conditions. Lastly, an intensive numerical study is put forward and numerical illustrations of the stability result are provided.
