| 非线性积分方程的周期解 |
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| 引用本文： | 海红. 非线性积分方程的周期解[J]. 中国人民武装警察部队学院学报, 2010, 26(8): 89-90 |
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| 作者姓名： | 海红 |
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| 作者单位： | 武警学院基础部,河北廊坊065000 |
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| 摘 要： | 以（Cg,｜.｜g）为相空间,研究具有无限时滞非线性积分方程周期解的存在性,利用Schauder-Tychonov不动点定理证明方程解的g一致有界性和g一致最终有界性蕴含周期解的存在性。
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| 关 键 词： | 非线性积分方程 g一致有界 g一致最终有界 周期解 |
Periodic Solutions of Nonlinear Integral Equations |
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| HAI Hong. Periodic Solutions of Nonlinear Integral Equations[J]. Journal of the Chinese People's Armed Police Force Academy, 2010, 26(8): 89-90 |
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| Authors: | HAI Hong |
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| Affiliation: | HAI Hong (Basic Courses Teaching Department,The Armed Police Academy,Langfang,Hebei Province 065000,China) |
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| Abstract: | In this paper,the existence of periodic solution of nonlinear integral equations with infinite delay is studied in the phase space.It has been proved that,the uniform bounded and uniform ultimate bounded solutions implies the existence of periodic solutions by using Schauder-Tychonov＇s fixed point theorem. |
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| Keywords: | nonlinear integral equations g-uniform bounded g-uniform ultimate bounded periodic solution |
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