| 带梯度算子二阶方程的渐近概周期解 |
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| 引用本文： | 郭雅丽,张传义. 带梯度算子二阶方程的渐近概周期解[J]. 应用泛函分析学报, 2009, 11(4): 325-329 |
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| 作者姓名： | 郭雅丽 张传义 |
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| 作者单位： | 1. 东北农业大学信息与计算科学系,哈尔滨,150030
2. 哈尔滨工业大学数学系,哈尔滨,150001 |
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| 摘 要： | 利用渐近概周期函数的性质得到带梯度算子二阶方程的渐近概周期解在C（R^-）中的存在性．同时利用迭代法和线性常微分方程的概周期解的存在性和唯一性，得到R上此方程渐近概周期解的存在和唯一性．
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| 关 键 词： | 梯度算子 概周期解 渐近概周期解 |
Asymptotically Almost Periodic Solutions of Second-order Equations with Gradient Operators |
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| GUO Ya-li,ZHANG Chuan-yi. Asymptotically Almost Periodic Solutions of Second-order Equations with Gradient Operators[J]. Acta Analysis Functionalis Applicata, 2009, 11(4): 325-329 |
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| Authors: | GUO Ya-li ZHANG Chuan-yi |
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| Affiliation: | 1 Department of Information and Computation Science, Northeast Agricultural University Harbin 150030, China;2 Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China) |
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| Abstract: | We present existence theorem in C(R~+) for asymptotically almost periodic solutions of second-order equations with gradient operators by means of the properties of asymptotically almost periodic functions. Then by iteration method and the conditions for the existence and uniqueness of ordinany linear differential equations, we discuss existence and uniqueness theorem on R. |
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| Keywords: | gradient almost periodic solutions asymptotically almost periodic solutions |
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