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有界时滞非线性随机微分方程解的振动性和非振性
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O231.3[理学—运筹学与控制论;理学—数学] O211.63[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]华南师范大学数学科学学院,广州510631, [2]华中科技大学数学系,武汉430074, [3]宁波大学理学院,浙江宁波315211
  • 相关基金：国家自然科学基金（10826095 10801056）资助
作者： 汪红初[1], 胡适耕[2], 朱全新[3]
关键词： 非线性, 非振性, 振动性, 布朗运动, Nonlinear, Non-oscillation, Oscillation, Brownian motion
中文摘要：

研究了一类非线性随机时滞微分方程解的振动性和非振性,其中设定时滞可变且有界.依据该方程漂移项和扩散项的性质,证明了通过选定适当的初值,方程依概率存在正解;同时,给出了方程解几乎必然振动的一个充分条件.

英文摘要：

This paper studies non-oscillation and oscillation in solutions of a nonlinear stochastic delay differential equation,in which the delay is time varying and bounded.Depending on the properties of the drift and the diffusion of the equation,positive solutions may exist with positive probability for suitable selected initial process,and a sufficient condition for the almost sure oscillation of the solutions is also established.

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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 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,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:5382