| 广义反射函数的性态与应用 |
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| 引用本文： | 孙长军.广义反射函数的性态与应用[J].数学的实践与认识,2010,40(10). |
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| 作者姓名： | 孙长军 |
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| 基金项目： | 国家自然科学基金，江苏省教委自然科学研究基金 |
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| 摘 要： | 推广了Mironenko的反射函数的概念,给出了广义反射函数的概念并讨论了广义反射函数的性质,应用它研究了微分系统周期解的存在性和稳定性态.作为应用举例,研究了Riccati方程的反射函数.
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| 关 键 词： | 微分系统 广义反射函数 周期解 |
Properties and Application of Generalized Reflection Function |
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| SUN Chang-jun.Properties and Application of Generalized Reflection Function[J].Mathematics in Practice and Theory,2010,40(10). |
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| Authors: | SUN Chang-jun |
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| Abstract: | In this article,we extend the notion of Mironenko's reflective function,we establish the notion of the generalized reflective function of differential system and discuss the properties of the generalized reflective function,we apply it to study the existence and stability of the periodic solutions of differential system.As an application example,we find out the Riccati equation. |
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| Keywords: | Differential system Generalized reflective function Periodic solution |
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