Existence and Uniqueness for Stochastic Age-Dependent Population with Fractional Brownian Motion

Zhang Qimin; Li xining

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Existence and Uniqueness for Stochastic Age-Dependent Population with Fractional Brownian Motion

机译：存在分数布朗运动的随机年龄相关种群的存在性和唯一性

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摘要

A model for a class of age-dependent population dynamic system of fractional version with Hurst parameter h ∈ (1/2,1] is established. We prove the existence and uniqueness of a mild solution under some regularity and boundedness conditions on the coefficients. The proofs of our results combine techniques of fractional Brownian motion calculus. Ideas of the finite-dimensional approximation by the Galerkin method are used.

机译：建立了一类Hurst参数为h∈（1 / 2,1]的分数形式的与年龄相关的种群动态系统模型，我们证明了该系数在一定规则性和有界条件下的温和解的存在性和唯一性。我们的结果证明结合了分数布朗运动演算技术，并采用了Galerkin方法进行有限维近似的思想。

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《Mathematical Problems in Engineering》 |2012年第4期|p.813535.1-813535.12|共12页
作者
Zhang Qimin; Li xining;
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School Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China;

School Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China;

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1. Existence and Uniqueness for Stochastic Age-Dependent Population with Fractional Brownian Motion [J] . ZhangQimin, Lixining Mathematical Problems in Engineering: Theory, Methods and Applications . 2012,第6期

机译：存在分数布朗运动的随机年龄相关种群的存在性和唯一性
2. The Existence, Uniqueness, and Controllability of Neutral Stochastic Delay Partial Differential Equations Driven by Standard Brownian Motion and Fractional Brownian Motion [J] . Dehao Ruan, Jiaowan Luo Discrete dynamics in nature and society . 2018,第4期

机译：由标准布朗运动和分数布朗运动驱动的中立随机时滞偏微分方程的存在性，唯一性和可控制性
3. The Existence, Uniqueness, and Controllability of Neutral Stochastic Delay Partial Differential Equations Driven by Standard Brownian Motion and Fractional Brownian Motion [J] . Dehao Ruan, Jiaowan Luo Discrete dynamics in nature and society . 2018,第Pta1期

机译：标准布朗运动和分数布朗运动驱动中立随机延迟偏微分方程的存在，唯一性和可控性
4. Existence and Uniqueness for a Stochastic Age-dependent Population System with Diffusion Under non-Lipschitz Condition [C] . Yan Qin, Hui Li, Aihong Lin The proceedings of 2010 international conference on probability and statistics of the International Institute for General Systems Studies.;vol. 1.;Advances on probability and statistics . 2010

机译：非Lipschitz条件下具有年龄的随机种群扩散系统的存在与唯一性
5. Malliavin calculus for backward stochastic differential equations and stochastic differential equations driven by fractional Brownian motion and numerical schemes. [D] . Song, Xiaoming. 2011

机译：Malliavin演算，用于分数布朗运动和数值格式驱动的后向随机微分方程和随机微分方程。
6. Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion [O] . Xinwen Zhang, Dehao Ruan -1

机译：由布朗运动和分数布朗运动驱动的中立型随机泛函偏微分方程的指数稳定性。
7. On uniqueness and existence of solutions to stochastic set-valued differential equations with fractional Brownian motions [O] . Jialu Zhu, Yong Liang, Weiyin Fei 2020

机译：关于分数褐色动作的随机集差分方程解决方案的独特性及存在

Existence and Uniqueness for Stochastic Age-Dependent Population with Fractional Brownian Motion

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