| 与年龄有关的随机种群系统强解的存在性和唯一性 |
| |
| 引用本文： | 李西宁,张启敏.与年龄有关的随机种群系统强解的存在性和唯一性[J].宁夏大学学报(自然科学版),2007,28(3):197-201. |
| |
| 作者姓名： | 李西宁 张启敏 |
| |
| 作者单位： | 宁夏大学,数学计算机学院,宁夏,银川,750021 |
| |
| 基金项目： | 宁厦自治区自然科学基金;国家高技术研究发展计划(863计划) |
| |
| 摘 要： | 应用随机泛函微分方程的理论,利用Gronwal不等式和Barkholder-Davis-Gundy不等式,证明了Hilbert空间中一类与年龄有关的随机时变种群系统强解的存在性和唯一性.特别地,所得结论是对通常种群系统现有结论的扩展.
|
| 关 键 词： | 存在性 唯一性 随机种群系统 |
| 文章编号： | 0253-2328（2007）03-0197-05 |
| 修稿时间： | 2005-12-21 |
Existence and Uniqueness of Strong Solutions for Stochastic Age-dependent Population |
| |
| Li Xining,Zhang Qimin.Existence and Uniqueness of Strong Solutions for Stochastic Age-dependent Population[J].Journal of Ningxia University(Natural Science Edition),2007,28(3):197-201. |
| |
| Authors: | Li Xining Zhang Qimin |
| |
| Institution: | School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021,China |
| |
| Abstract: | Applying the theory of stochastic functional differential equation and using Gronwall's inequality and Barkholder-Davis-Gundy inequality, existence and uniqueness of strong solution are proved for a class of stochastic age-dependent population dynamic system on Hilbert space. In particular, the results are extension of the existing results for ordinary age-dependent population dynamic system. |
| |
| Keywords: | existence uniqueness stochastic population system |
| 本文献已被 维普 万方数据 等数据库收录！ |
