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一类随机种群方程解的存在性和指数稳定性
  • ISSN号：1000-8314
  • 期刊名称：《数学年刊：A辑》
  • 时间：0
  • 分类：O211.63[理学—概率论与数理统计;理学—数学] O175.15[理学—数学;理学—基础数学]
  • 作者机构：[1]华东师范大学数学系,上海200241
  • 相关基金：国家自然科学基金（No.10671069）,上海市自然科学基金（No.09ZR1408900）和上海市重点学科基金（No.B407）资助的项目.
作者： 傅显隆[1]
关键词： 随机种群方程, 强连续半群, 存在性, 指数稳定性, Stochastic population equation, Strongly continuous semigroup Existence, Exponentially stability
中文摘要：

首先对一类半线性随机发展方程建立其解的存在性和渐近行为的结果，这类方程的线性部分生成一强连续半群．然后将抽象结果应用于依赖年龄的随机种群方程，获得它的存在性和渐近性质．

英文摘要：

This paper firstly establishes the results on existence and asymptotic behavior of solutions for a semilinear stochastic evolution equation whose linear part generates a strongly continuous semigroup. Then applying these abstract results to a stochastic age-dependent population equation, its existence and asymptotic property are obtained.

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期刊信息
  • 《数学年刊：A辑》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:复旦大学
  • 主编：李大潜
  • 地址：上海市长乐路746号
  • 邮编：200040
  • 邮箱：edcam@fudan.edu.cn
  • 电话：021-65642338
  • 国际标准刊号：ISSN：1000-8314
  • 国内统一刊号：ISSN：31-1328/O1
  • 邮发代号:4-298
  • 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,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:4264