| 一类无限时滞随机泛函微分方程解的存在唯一性 |
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| 引用本文： | 高正晖,罗李平,杨柳.一类无限时滞随机泛函微分方程解的存在唯一性[J].衡阳师范学院学报,2014(3):5-7. |
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| 作者姓名： | 高正晖 罗李平 杨柳 |
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| 作者单位： | 衡阳师范学院数学与计算科学系,湖南衡阳421008 |
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| 基金项目： | 湖南省自然科学基金资助项目（13JJ6068）;湖南省“十二五”重点建设学科资助项目（湘教发[2011]76号） |
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| 摘 要： | 在Lipschitz条件和线性增长条件下,利用压缩映像原理,获得了具有无穷时滞的随机泛函微分方程解局部存在唯一的充分条件。
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| 关 键 词： | 随机泛函微分方程 无穷时滞 Lipschitz条件 线性增长条件 存在性 唯一性 |
Existence and Uniqueness of the Solutions for Stochastic Functional Differential Equations with Infinite Delay |
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| GAO Zheng-hui;LUO Li-ping;YANG Liu.Existence and Uniqueness of the Solutions for Stochastic Functional Differential Equations with Infinite Delay[J].journal of Hengyang Normal University,2014(3):5-7. |
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| Authors: | GAO Zheng-hui;LUO Li-ping;YANG Liu |
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| Institution: | GAO Zheng-hui, LUO Li-ping, YA NG Liu (Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang Hunan 421002, China) |
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| Abstract: | In this paper ,we apply contraction mapping theorem ,and obtains the sufficient conditions for the local existence and uniqueness of solutions for stochastic functional differential equations with infinite delay ,under Lipschitz condition and linear growth condition . |
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| Keywords: | stochastic functional differential equation infinite delay Lipschitz condition linear growth condition existence uniqueness |
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