带时滞的随机Kuramoto-Sivashinsky方程在Hilbert空间解的指数稳定性
Existence and Uniqueness of Solution for Delay Kuramoto-Sivashinsky Equation in Hilbert
摘要
利用半群的性质和Banach压缩不动点原理讨论了带时滞的随机Kuramoto-Sivashinsky方程在Hibert空间解的指数稳定性。
Exponential stability of solution are proved for the stochastic delay Kuramoto-Sivashinsky equation in this paper,using and theory of semigroup.
出处
《延安大学学报(自然科学版)》
2011年第3期28-31,35,共5页
Journal of Yan'an University:Natural Science Edition
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共引文献24
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1李朝霞,张启敏.一类随机时变种群扩散系统解的存在性、惟一性[J].山东大学学报(理学版),2007,42(9):107-113. 被引量:2
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2邓艳丽,张启敏.与年龄相关的随机时滞种群扩散系统解的存在唯一性[J].山西大学学报(自然科学版),2008,31(4):496-503.
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3戴晓娟,张启敏.具有空间扩散的随机种群系统的最优控制[J].沈阳师范大学学报(自然科学版),2009,27(1):4-8. 被引量:1
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4朱德馨,张启敏.随机时滞种群系统解的吸引性和有界性[J].青岛科技大学学报(自然科学版),2009,30(1):61-65.
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5戴晓娟,张启敏.随机种群扩散系统最优边界控制的充分必要条件[J].宁夏大学学报(自然科学版),2009,30(1):18-21. 被引量:2
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7戴晓娟,张启敏.非线性随机种群系统的最优控制[J].昆明理工大学学报(理工版),2009,34(3):100-104. 被引量:5
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8郭书东,张启敏.跳扩散种群系统的数值解[J].河南科技大学学报(自然科学版),2009,30(5):89-92. 被引量:1
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9郭书东,张启敏.时变随机种群系统的数值解[J].华中师范大学学报(自然科学版),2009,43(4):550-554. 被引量:2
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10邓艳丽,张启敏.与年龄相关的随机时滞种群扩散系统解的存在唯一性[J].商丘师范学院学报,2009,25(12):6-11. 被引量:1