| 带有次线性可乘白噪音的广义波方程的随机吸引子 |
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| 引用本文： | 桑宗曦,李扬荣.带有次线性可乘白噪音的广义波方程的随机吸引子[J].西南农业大学学报,2012,34(6):087-091. |
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| 作者姓名： | 桑宗曦 李扬荣 |
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| 作者单位： | 西南大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金资助项目(11071199);重庆市自然科学基金资助项目(2009BB8105) |
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| 摘 要： | 说明带有次线性可乘白噪音扰动的广义波方程的解生成随机动力系统,证明了此随机动力系统存在吸收所有有界集的紧随机集,且此随机动力系统存在全局吸引子.
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| 关 键 词： | 波方程 随机动力系统 随机吸引子 |
Random AttractorsforaDampedStochasticWave
EquationwithSublinearMultiplicativeWhiteNoise |
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| SANG Zong-xi,LI Yang-rong.Random AttractorsforaDampedStochasticWave
EquationwithSublinearMultiplicativeWhiteNoise[J].Journal of Southwest Agricultural University,2012,34(6):087-091. |
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| Authors: | SANG Zong-xi LI Yang-rong |
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| Institution: | School of Mathematics and Statistics,Southwest University,Chongqing 400715,China |
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| Abstract: | First,we show that the unique solution of the wave equation with sublinear multiplicative white noise generates an RDS(random dynamical system),and then we prove that there exists a compact random set that absorbs every bounded set for such an RDS,so that a global attractor exists in this RDS. |
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| Keywords: | wave equation random dynamical system random attractor |
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