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| 四阶强阻尼时滞波方程的惯性流形 | |
| 作者单位： | 云南大学 数学系 |
| 基金项目： | 国家自然科学基金资助（11161057）. |
| 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. |
| 关 键 词： | 四阶非线性波动方程 强阻尼 谱间隔条件 惯性流形 |
Inertia manolds of fourth-order strongly damped wave equationwith time delay |
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| Affiliation: | Department of Mathematics,Yunnan University |
| 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. |
| Keywords: | Fourth order nonlinear wave equation strongly damping spectral gap condition inertia manifold |
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