STABILITY OF STOCHASTIC NEUTRAL PARTIALFUNCTIONAL DIFFERENTIAL EQUATIONS UNDERHOLDER TYPE CONDITIONS

T.E. GOVINDAN

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STABILITY OF STOCHASTIC NEUTRAL PARTIALFUNCTIONAL DIFFERENTIAL EQUATIONS UNDERHOLDER TYPE CONDITIONS

机译：持有人类型条件下随机中立型偏函数微分方程的稳定性

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In this paper, we study the existence and uniqueness ofmild solutions, and also the almost sure exponential stability of mildsolutions of stochastic neutral partial functional differential equationsin real separable Hilbert spaces using Holder type conditions on thenonlinear terms. The results obtained here generalize the main resultsfrom [Govindan, Stochastics 77 (2005), 139-154].

机译：在本文中，我们研究了在非线性条件下使用Holder型条件在真实可分离Hilbert空间中温和解的存在性和唯一性，以及随机中立型偏泛函微分方程的温和解的几乎确定的指数稳定性。这里获得的结果概括了[Govindan，Stochastics 77（2005），139-154]的主要结果。

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《Differential and integral equations》 |2009年第6期|共14页
作者
T.E. GOVINDAN;
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正文语种 eng
中图分类微分方程、积分方程;
关键词
STABILITY; STOCHASTIC; CONDITIONS;

机译：稳定性;随机性;条件;

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专利

1. STABILITY OF STOCHASTIC NEUTRAL PARTIALFUNCTIONAL DIFFERENTIAL EQUATIONS UNDERHOLDER TYPE CONDITIONS [J] . T.E. GOVINDAN Differential and integral equations . 2009,第5a6期

机译：持有人类型条件下随机中立型偏函数微分方程的稳定性
2. Non-Lipschitz Sobolev Type Fractional Neutral Impulsive Stochastic Differential Equations with Fractional Stochastic Nonlocal Condition, Infinite Delay and Poisson Jumps [J] . Krishnan Thiagu, Palanisamy Muthukumar Computational and Applied Mathematics Journal . 2020,第1期

机译：非Lipschitz Sobolev型分数中性冲动随机微分方程，具有分数随机非局部条件，无限延迟和泊松跳跃
3. Almost sure exponential stability of the -Euler-Maruyama method, when (12,1), for neutral stochastic differential equations with time-dependent delay under nonlinear growth conditions [J] . Obradovic Maja, Milosevic Marija Calcolo . 2019,第2期

机译：几乎肯定的-euler-maruyama方法的指数稳定性，当（12,1）时，对于非线性生长条件下具有时间依赖性延迟的中性随机微分方程
4. Existence, uniqueness and stability of stochastic neutral functional differential equations of Sobolev-type [C] . Zhu Quanxin, Yang Xuetao Chinese Control Conference . 2015

机译：Sobolev型随机中立型泛函微分方程的存在性，唯一性和稳定性
5. Stability of solutions of stochastic differential equations of diffusion type [D] . Szlenk, Piotr 1993

机译：扩散型随机微分方程解的稳定性
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. Partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching by boundary condition [O] . Dezhi Liu, Weiqun Wang, Oleksiy Ignatyev, 2012

机译：边界条件的Markovian切换的中立型随机泛函微分方程的局部随机渐近稳定性
8. On the Uniform Asymptotic Stability of Functional Differential Equations of the Neutral Type [R] . Hale, J. K., Ize, A. F. 1970

机译：关于中立型泛函微分方程的一致渐近稳定性

STABILITY OF STOCHASTIC NEUTRAL PARTIALFUNCTIONAL DIFFERENTIAL EQUATIONS UNDERHOLDER TYPE CONDITIONS

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