STABILITY PROPERTIES IN THE α—NORM OFSOLUTIONS OF STOCHASTIC PARTIAL FUNCTIONALDIFFERENTIAL EQUATIONS

T.E. GOVINDAN

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STABILITY PROPERTIES IN THE α—NORM OFSOLUTIONS OF STOCHASTIC PARTIAL FUNCTIONALDIFFERENTIAL EQUATIONS

机译：随机偏函数微分方程的α-范数解的稳定性

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In this paper, we study almost sure exponential stability andasymptotic stability in probability of mild solutions of stochastic partialfunctional differential equations in Hilbert spaces. The linear part isassumed to generate an analytic semigroup while the drift and diffusionterms satisfy a Holder type condition with respect to the fractional powernorm of the linear part.

机译：在本文中，我们研究了希尔伯特空间中随机偏函数微分方程的中等解概率的几乎肯定的指数稳定性和渐近稳定性。假设线性部分生成一个解析半群，而漂移和扩散项相对于线性部分的分数幂范数满足Holder型条件。

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《Differential and integral equations》 |2010年第6期|共18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 PROPERTIES; EQUATIONS; DIFFERENTIAL;

机译：稳定性;方程;微分;

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专利

1. STABILITY PROPERTIES IN THE α—NORM OFSOLUTIONS OF STOCHASTIC PARTIAL FUNCTIONALDIFFERENTIAL EQUATIONS [J] . T.E. GOVINDAN Differential and integral equations . 2010,第5a6期

机译：随机偏函数微分方程的α-范数解的稳定性
2. Partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching by boundary condition [J] . Dezhi Liu, Weiqun Wang, Oleksiy Ignatyev, Advances in Difference Equations . 2012,第1期

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
3. EXISTENCE AND STABILITY IN THE α-NORM FOR NONLINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH FINITE DELAY [J] . Chitioui Taoufik, Ezzinbi Khalil, Rebey Amor Cubo : A Mathematical Journal . 2013,第1期

机译：时滞非线性中立型偏微分方程的α-范数的存在性和稳定性
4. On the partial stochastic stability of stochastic differential delay equations with Markovian switching [C] . Dezhi Liu, Weiqun Wang International Conference on Advances in Materials Science and Manufacturing Technology . 2013

机译：基于马尔维亚开关的随机微径方程的局部随机稳定性
5. Sample Path Properties of Gaussian Random Fields and Stochastic Partial Differential Equations [D] . Lee, Cheuk Yin. 2020

机译：高斯随机字段和随机偏微分方程的示例路径属性
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. Lyapunov stability for partial differential equations. Part 1 - Lyapunov stability theory and the stability of solutions to partial differential equations. Part 2 - Contraction groups and equivalent norms [R] . Buis, G. R., Eisen, M. M., Vogt, W. G. 1968

机译：偏微分方程的Lyapunov稳定性。第1部分 - Lyapunov稳定性理论和偏微分方程解的稳定性。第2部分 - 收缩组和等效规范

STABILITY PROPERTIES IN THE α—NORM OFSOLUTIONS OF STOCHASTIC PARTIAL FUNCTIONALDIFFERENTIAL EQUATIONS

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