| 半线性微分方程的概自守与伪概自守解 |
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| 引用本文： | 刘敬怀,宋晓秋,陆凤玲.半线性微分方程的概自守与伪概自守解[J].应用泛函分析学报,2009,11(4):294-300. |
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| 作者姓名： | 刘敬怀 宋晓秋 陆凤玲 |
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| 作者单位： | 中国矿业大学理学院,徐州,221008 |
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| 基金项目： | Supported by the National Natural Science Foundation of China （10471033） |
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| 摘 要： | 在Banach空间中，利用发展系统的算子半群理论和Banach压缩原理，在半线性微分方程x′（t）=A（t）x（t）＋f（t，x（t））满足一定的条件下，证明了其概自守与伪概自守mild解的存在性与唯一性．
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| 关 键 词： | 概自守 伪概自守 半线性微分方程 发展系统 指数稳定 |
Almost Automorphic and Pseudo Almost Automorphic Solutions of Semilinear Differential Equations |
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| LIU Jing-huai,SONG Xiao-qiu,LU Feng-ling.Almost Automorphic and Pseudo Almost Automorphic Solutions of Semilinear Differential Equations[J].Acta Analysis Functionalis Applicata,2009,11(4):294-300. |
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| Authors: | LIU Jing-huai SONG Xiao-qiu LU Feng-ling |
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| Affiliation: | ZHOU Hai-yun, MA Bing-kun, TAN Bin (Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China) |
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| Abstract: | Applying the theory of semigroups of operators to evolution family and Banach contraction principle, we prove the existence and uniqueness of an (a) almost automorphie (pseudo almost automorphic) mild solution of the semilinear differential equation x' (t) = A(t)x(t) + f(t, x(t)) in Banach space under conditions. |
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| Keywords: | almost automorphic pseudo almost automorphic semilinear differential equation evolution family exponentially stable |
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