四阶强阻尼时滞波方程的惯性流形

张志成; 林国广

doi:10.7540/j.ynu.20130291

张志成, 林国广. 四阶强阻尼时滞波方程的惯性流形[J]. 云南大学学报(自然科学版), 2013, 35(S1): 164-171. doi: 10.7540/j.ynu.20130291

引用本文:

张志成, 林国广. 四阶强阻尼时滞波方程的惯性流形[J]. 云南大学学报(自然科学版), 2013, 35(S1): 164-171. doi: 10.7540/j.ynu.20130291

Inertia manolds of fourth-order strongly damped wave equationwith time delay[J]. Journal of Yunnan University: Natural Sciences Edition, 2013, 35(S1): 164-171. DOI: 10.7540/j.ynu.20130291

Citation:

Inertia manolds of fourth-order strongly damped wave equationwith time delay[J]. Journal of Yunnan University: Natural Sciences Edition, 2013, 35(S1): 164-171. DOI: 10.7540/j.ynu.20130291

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

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.

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