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Lévy过程与无限时滞的脉冲中立型随机微积分方程(
)
《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]
- 卷:
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第36卷
- 期数:
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2013年04期
- 页码:
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14
- 栏目:
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数学
- 出版日期:
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2013-12-31
文章信息/Info
- Title:
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Neutral Impulsive Stochastic Integro-Differential Equations with Infinite Delay and Lévy Processes
- 作者:
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Diem Dang Huan1; 2
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(1.南京师范大学数学科学学院,江苏 南京 210023) (2.北江农林大学基础科学学院,北江,越南)
- Author(s):
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Diem Dang Huan1; 2
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(1.School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China) (2.Faculty of Basic Sciences,Bacgiang Agriculture and Forestry University,Bacgiang,Vietnam)
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- 关键词:
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- Keywords:
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- 分类号:
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O211.63
- 文献标志码:
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A
- 摘要:
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本文研究了一类Lévy过程与无限时滞的脉冲中立型随机微积分方程(NISIEIL).首先,在一类广义利普布茨条件下,我们通过逐次逼近建立了布尔伯特空间中NISIEIL温和解的存在唯一性.其次,我们给出了解对初始值的连续依赖性.改进并推广了已有的结果.
- Abstract:
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This paper study a class of neutral impulsive stochastic integro-differential equations with infinite delay and Lévy processes(NISIEIL).We establish the existence and uniqueness of mild solutions for NISIEIL under a class of generalized Lipschitz conditions to the Hilbert space by means of the successive approximation.Furthermore,we give the continuous dependence of solutions on the initial data.Some well-known results are generalized and improved.
更新日期/Last Update:
2013-12-30