引用本文: | 李劲,黄建华,朱健民.非自治时滞抛物方程的pullback吸引子[J].国防科技大学学报,2009,31(2):126-130.[点击复制] |
LI Jin,HUANG Jianhua,ZHU Jianmin.Pullback Attractor of Non-autonomous Parabolic Equations with Time Delays[J].Journal of National University of Defense Technology,2009,31(2):126-130[点击复制] |
|
|
|
本文已被:浏览 5996次 下载 5716次 |
非自治时滞抛物方程的pullback吸引子 |
李劲, 黄建华, 朱健民 |
(国防科技大学 理学院,湖南 长沙 410073)
|
摘要: |
研究一类具有平移指数增长函数的非自治时滞抛物型偏微分方程,证明了由方程解生成的非自治无穷维动力系统在L2(Ω)×C([-r,0]; L2(Ω))空间中存在pullback吸引子。 |
关键词: Pullback吸引子 α- 平移指数增长函数 |
DOI: |
投稿日期:2008-08-29 |
基金项目:国家自然科学基金资助项目(10571175) |
|
Pullback Attractor of Non-autonomous Parabolic Equations with Time Delays |
LI Jin, HUANG Jianhua, ZHU Jianmin |
(College of Science, National Univ. of Defense Technology, Changsha 410073,China)
|
Abstract: |
This paper is aimed to study the dynamics of a class of non-autonomous parabolic equation with time delays and alpha-translation exponential external function. The existence of pullback attractor for the non-autonumous infinite-dimensional dynamical systems generated by the non-autonomous parabolic equation with time delays is obtained in the space L2(Ω)×C([-r,0]; L2(Ω)). |
Keywords: pullback attractor α- translation exponential external function |
|
|