Stability of Non-densely Defined Semilinear Stochastic Evolution Equations with Application to the Stochastic Age-Structured Model

Wang Zhen; Li Xiong

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Stability of Non-densely Defined Semilinear Stochastic Evolution Equations with Application to the Stochastic Age-Structured Model

机译：非稠密半线性随机发展方程的稳定性及其在年龄结构模型中的应用

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摘要

In this paper we first investigate the stability of non-densely defined semilinear stochastic evolution equations. For this system, using the method of Lyapunov functional, we establish the sufficient conditions on stability in probability and stability in moment. As an application, we obtain the stable criteria for the nonlinear stochastic age-structured model.

机译：在本文中，我们首先研究了非密集定义的半线性随机演化方程的稳定性。对于该系统，我们使用Lyapunov泛函的方法，建立了概率稳定性和瞬时稳定性的充分条件。作为应用，我们获得了非线性随机年龄结构模型的稳定准则。

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来源
《Journal of dynamics and differential equations》 |2015年第2期|261-281|共21页
作者
Wang Zhen; Li Xiong;
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作者单位

Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China;

Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China;

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正文语种 eng
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关键词
Non-densely defined; Semilinear stochastic evolution equations; Stochastic stability; Lyapunov functional; Stochastic age-structured model;

机译：非密集定义;半线性随机演化方程;随机稳定性;Lyapunov泛函;随机年龄结构模型;

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1. Weak convergence rates for stochastic evolution equations and applications to nonlinear stochastic wave, HJMM, stochastic Schrodinger and linearized stochastic Korteweg-de Vries equations [J] . Harms Philipp, Mueller Marvin S. ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2019,第1期

机译：随机演化方程和应用于非线性随机波，HJMM，随机施罗德格和线性化随机Korteeg-de Vries方程的弱收敛速率
2. Non-densely defined impulsive neutral stochastic functional differential equations driven by fBm in Hilbert space with infinite delay [J] . Yong REN, Tingting HOU, R. SAKTHIVEL Frontiers of mathematics in China . 2015,第2期

机译：由希尔伯特空间无限延迟驱动fBm的非密集定义的脉冲中立随机泛函微分方程
3. Almost sure weak exponential stability with a certain decay function of semilinear stochastic evolution equations [J] . David Castillo Fernandez Journal of the Franklin Institute . 2010,第10期

机译：具有半线性随机发展方程的衰减函数的几乎确定的弱指数稳定性
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机译：非线性随机发展方程均方稳定性的Lyapunov准则
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机译：复杂随机系统的模型，识别和分析：在随机偏微分方程和多尺度力学中的应用。
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机译：适定随机演化方程的稳定性
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机译：半线性随机进化的稳定流形定理方程和随机偏微分方程I：随机半流
8. Research on Deterministic and Stochastic Partial Differential Equations with Applications to Continuum Physics and Stochastic Systems Modelling [R] . Fleming, W. H. 1988

机译：确定性和随机偏微分方程的研究及其在连续物理和随机系统建模中的应用

Stability of Non-densely Defined Semilinear Stochastic Evolution Equations with Application to the Stochastic Age-Structured Model

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