四阶强阻尼时滞波方程的惯性流形

Inertia manolds of fourth-order strongly damped wave equationwith time delay

摘要: 研究了一类具有时滞的强阻尼波动方程的惯性流形，利用算子半群理论及Lyapunov-Perron方法在一定的谱间隔条件和充分小的时滞假设下，证明了四阶强阻尼时滞波方程的惯性流形.

Abstract: We deal with a class of strongly damping wave equation with delay time,using semigroup of operators theory and Lyapunov-perron method in the spectral gap condition and sufficiently small delay assumptions,proved that the fourth order strongly damping wave equation with delay time inertia manifold.