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On Existence and Uniqueness of Random Impulsive Differential Equations
  • ISSN号：1009-6124
  • 期刊名称：《系统科学与复杂性学报：英文版》
  • 分类：O177.91[理学—数学;理学—基础数学] O175.8[理学—数学;理学—基础数学]
  • 作者机构：Department of Mathematics, Tongji University, Shanghai 200092, China
  • 相关基金：This research was supported by the NSF of China under Grant No. 61174039.
作者： ZHANG Shuorui, SUN Jitao
关键词： 随机不动点定理, 脉冲微分方程, 讨论系统, 作者, 巴拿赫, Existence, impulses, random differential equations, random fixed point, uniqueness.
中文摘要：

这篇论文为随机的冲动的微分方程学习存在和唯一。作者首先概括 Schaefers 类型的一条随机的固定的点定理。然后，作者将依靠概括 Schaefers 类型随机讨论系统的存在的固定的点定理。另外，作者由使用修理的随机的 Banach 学习随机的冲动的微分方程的存在和唯一削尖定理并且获得一些不太保守的结果。最后，一个例子被给说明结果的有效性。

英文摘要：

This paper studies existence and uniqueness for random impulsive differential equations. The authors first generalize a random fixed point theorem of Schaefer＇s type. Then the authors shall rely on the generalized Schaefer＇s type random fixed point theorem to discuss the existence of the system. In addition, the authors study the existence and uniqueness of random impulsive differential equations by applying random Banach fixed point theorem and obtain some less conservative results. Finally, an example is given to illustrate the effectiveness of the results.

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期刊信息
  • 《系统科学与复杂性学报：英文版》
  • 主管单位:中国科学院
  • 主办单位:中国科学院系统科学研究所
  • 主编：
  • 地址：北京东黄城根北街16号
  • 邮编：100080
  • 邮箱：
  • 电话：010-62541831 62541834
  • 国际标准刊号：ISSN：1009-6124
  • 国内统一刊号：ISSN：11-4543/O1
  • 邮发代号:82-545
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库
  • 被引量:125