| 一类随机种群方程解的存在性和指数稳定性 |
| |
| 引用本文： | 傅显隆.一类随机种群方程解的存在性和指数稳定性[J].数学年刊A辑(中文版),2010,31(1):43-58. |
| |
| 作者姓名： | 傅显隆 |
| |
| 作者单位： | 华东师范大学数学系; |
| |
| 基金项目： | 国家自然科学基金(No.10671069); 上海市自然科学基金(No.09ZR1408900); 上海市重点学科基金(No.B407)资助的项目 |
| |
| 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.
|
| 关 键 词： | 随机种群方程 强连续半群 存在性 指数稳定性 |
Existence and Exponential Stability for a Stochastic Population Equation |
| |
| FU Xianlong.Existence and Exponential Stability for a Stochastic Population Equation[J].Chinese Annals of Mathematics,2010,31(1):43-58. |
| |
| Authors: | FU Xianlong |
| |
| Institution: | FU Xianlong~1 1 Department of Mathematics,East China Normal University,Shanghai 200241,China. |
| |
| Abstract: | 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. |
| |
| Keywords: | Stochastic population equation Strongly continuous semigroup Existence Exponentially stability |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学年刊A辑(中文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊A辑(中文版)》下载免费的PDF全文 |
