| 一类推广的迭代泛函微分方程的光滑解 |
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| 引用本文： | 刘佳.一类推广的迭代泛函微分方程的光滑解[J].重庆工商大学学报(自然科学版),2014,31(11):23-28. |
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| 作者姓名： | 刘佳 |
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| 作者单位： | 山东城市建设职业学院建筑经济管理系,济南,250103 |
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| 摘 要： | 利用Faà di Bruno公式及Schauder不动点定理,证明了一类迭代泛函方程光滑解的存在性、唯一性和对给定函数的连续依赖性.
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| 关 键 词： | 迭代泛函微分方程 光滑解 Faà di Bruno公式 不动点定理 |
Smoothing Solution to a Class of Generalized Iterative Functional Differential Equations |
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| LIU Jia.Smoothing Solution to a Class of Generalized Iterative Functional Differential Equations[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2014,31(11):23-28. |
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| Authors: | LIU Jia |
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| Institution: | LIU Jia ( Department of Construction Economy Management, Shandong Urban Construction Vocational College, Jinan 250103, China) |
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| Abstract: | This paper uses Faa di Bruno formula and Schauder fixed point theory to prove the existence anduniqueness as well as continuous dependence for given functions of the smoothing solution to a class of iterativefunctional differential equations. |
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| Keywords: | iterative functional differential equation smoothing solution Faa di Bruno formula fixed point theory |
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