| 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,2010,31(1):43~58 |
| 一类随机种群方程解的存在性和指数稳定性 |
| Existence and Exponential Stability for a Stochastic Population Equation |
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| DOI： |
| 中文关键词: 随机种群方程 强连续半群 存在性 指数稳定性 |
| 英文关键词:Stochastic population equation Strongly continuous semigroup Existence Exponentially stability |
| 基金项目:国家自然科学基金，上海市自然科学基金，上海市重点学科基金(No.B407)资助的项目 |
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| 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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