| 半线性抛物型泛函微分方程的周期解 |
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| 引用本文： | 田大钢.半线性抛物型泛函微分方程的周期解[J].应用数学,1993,6(1):117-121. |
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| 作者姓名： | 田大钢 |
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| 作者单位： | 武汉工业大学数学物理系 武汉 |
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| 摘 要： | 本文应用上下解的概念及schauder不动点定理,在较广泛的条件下,解决了半线性抛物型泛函数微分方程周期解的存在性问题.所得结果推广了文献3]的定理1.2.
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| 关 键 词： | 泛函微分方程 周期解 抛物型 |
Periodic Solutions of Semilinear Parabolic Functional Differential Equations |
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| Tian Dagang.Periodic Solutions of Semilinear Parabolic Functional Differential Equations[J].Mathematica Applicata,1993,6(1):117-121. |
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| Authors: | Tian Dagang |
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| Institution: | Wuhan University of Technology |
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| Abstract: | In this paper, We use the idea of sub-supersolutions and Schauder' s fixed-point theorem, under certain conditions, to prove the existence of periodic solution of semilinear parabolic functional differential equations of second order. The result extends the theorem 1. 2 in paper 3]. |
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| Keywords: | Functional differential equation Periodic solution Sub-supersolution |
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