| 一类半线性微分方程的渐近概自守温和解 |
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| 引用本文： | 姚慧丽,宋晓秋,李兴华. 一类半线性微分方程的渐近概自守温和解[J]. 哈尔滨理工大学学报, 2012, 17(1): 113-115 |
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| 作者姓名： | 姚慧丽 宋晓秋 李兴华 |
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| 作者单位： | 哈尔滨理工大学应用科学学院,黑龙江哈尔滨,150080 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目(12511110) |
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| 摘 要： | 在解决某些实际问题的时候,渐近概自守函数比渐近概周期函数更具有现实意义.为了研究渐近概自守函数在微分方程中的应用,依据不动点定理和N’Guerekata教授关于微分方程的研究,给出了一类半线性微分方程的渐近概自守温和解的存在性和唯一性.
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| 关 键 词： | 半线性微分方程 渐近概自守函数 C0半群 温和解 不动点 |
Asymptotically Almost Automorphic Mild Solutions to a Class of Semilinear Differential Equations |
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| YAO Hui-li , SONG Xiao-qiu , LI Xing-hua. Asymptotically Almost Automorphic Mild Solutions to a Class of Semilinear Differential Equations[J]. Journal of Harbin University of Science and Technology, 2012, 17(1): 113-115 |
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| Authors: | YAO Hui-li SONG Xiao-qiu LI Xing-hua |
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| Affiliation: | (School of Applied Sciences,Harbin University of Science and Technology,Harbin 150080,China) |
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| Abstract: | At the time of solving some practical problems,asymptotically almost automorphic functions and more practical than asymptotically almost periodic functions.In order to study asymptotically almost automorphic functions applied to the differential equations,the existence and uniqueness of asymptotically almost automorphic mild solutions to a class of semilinear differential equations are discussed using fixed point theorem and Professor N’Guerekata study on differential equations. |
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| Keywords: | semilinear differential equations asymptotically almost automorphic function C0-semigroup mild solution fixed-point |
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