| 模糊随机固定资产模型解的存在唯一性 |
| |
| 引用本文： | 张启敏,申芳芳,杨洪福. 模糊随机固定资产模型解的存在唯一性[J]. 河南师范大学学报(自然科学版), 2015, 0(2): 7-13 |
| |
| 作者姓名： | 张启敏 申芳芳 杨洪福 |
| |
| 作者单位： | 北方民族大学数学与信息科学学院;宁夏大学数学与计算机学院 |
| |
| 基金项目： | 国家自然科学基金(11261043);宁夏回族自治区自然科学基金(NZ13051) |
| |
| 摘 要： | 介绍了一类模糊随机固定资产模型,它同时受两种不确定性因素的影响,即随机和模糊因素.漂移系数和扩散系数在初始有界的条件(弱于线性增长条件)和Lipschitz条件下,运用Picard迭代的方法证明了模糊随机固定资产模型解的存在性和唯一性.并且给出Picard迭代近似解误差的估计式.
|
| 关 键 词： | 存在性 唯一性 模糊随机固定资产模型 Picard迭代 |
Existence,uniqueness for stochastic fuzzy age-dependent capital system |
| |
| ZHANG Qimin;SHEN Fangfang;YANG Hongfu. Existence,uniqueness for stochastic fuzzy age-dependent capital system[J]. Journal of Henan Normal University(Natural Science), 2015, 0(2): 7-13 |
| |
| Authors: | ZHANG Qimin SHEN Fangfang YANG Hongfu |
| |
| Affiliation: | ZHANG Qimin;SHEN Fangfang;YANG Hongfu;School of Mathematics and Information Science,Beifang University for Nationalities;School Mathematics and Computer,Ningxia University; |
| |
| Abstract: | In this paper,a class of stochastic fuzzy age-dependent capital system is investigated.Where the phenomena is subjected to two kinds of uncertainties:stochastic and fuzziness.Under the initial bounded condition,which is weaker than linear growth condition,and Lipschitz condition with the drift coefficient and the diffusion coefficient,we obtain existence and uniqueness of solution to stochastic fuzzy age-dependent capital system based on the Picard iteration.Finally,an estimation on the error of approximate solution of the Picard iteration is given. |
| |
| Keywords: | existence uniqueness stochastic fuzzy age-dependent capital system Picard iteration |
| 本文献已被 CNKI 等数据库收录！ |
