| 具无限时滞的中立型随机泛函微分方程解的存在唯一性 |
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| 引用本文： | 王琳,胡适耕.具无限时滞的中立型随机泛函微分方程解的存在唯一性[J].数学研究及应用,2009,29(5):857-863. |
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| 作者姓名： | 王琳 胡适耕 |
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| 作者单位： | 华中科技大学数学系, 湖北 武汉 430074;华中科技大学数学系, 湖北 武汉 430074 |
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| 基金项目： | 国家自然科学基金(No.10671078). |
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| 摘 要： | The main aim of this paper is to establish the existence-and-uniqueness theorem for neutral stochastic functional differential equations with infinite delay at phase space BC（（-∞, 0]; R^n） An example is given for illustration.
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| 关 键 词： | 无穷时滞 随机泛函 微分方程解 中立型 时滞泛函微分方程 唯一性定理 相空间 |
| 收稿时间： | 2007/8/17 0:00:00 |
| 修稿时间： | 2008/5/21 0:00:00 |
The Existence and Uniqueness of the Solution for Neutral Stochastic Functional Differential Equations with Infinite Delay |
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| WANG Lin and HU Shi Geng.The Existence and Uniqueness of the Solution for Neutral Stochastic Functional Differential Equations with Infinite Delay[J].Journal of Mathematical Research with Applications,2009,29(5):857-863. |
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| Authors: | WANG Lin and HU Shi Geng |
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| Institution: | School of Mathematics and Statistics, Huazhong University of Science and Technology, Hubei 430074, China;School of Mathematics and Statistics, Huazhong University of Science and Technology, Hubei 430074, China |
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| Abstract: | The main aim of this paper is to establish the existence-and-uniqueness theorem for neutral stochastic functional differential equations with infinite delay at phase space $BC((-\infty,0];R^{n})$. An example is given for illustration. |
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| Keywords: | neutral stochastic functional differential equations infinite delay existence uniqueness Burkholder-Davis-Gundy inequality Borel-Cantelli lemma |
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