Mean-Square Stability of Milstein Methods for Stochastic Pantograph Equations [PDF]
Mathematical Problems in Engineering, 2013 This paper deals with nonlinear stochastic pantograph equations. For solving the equations, a class of extended Milstein methods are suggested. A mean-square stability criterion for this type of equations is presented. It is proved that under the suitable conditions the Milstein methods preserve the mean-square stability.
Feiyan Xiao +2 more
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Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays
Abstract and Applied Analysis, 2012 This paper is concerned with mean square exponential stability of switched stochastic system with interval time-varying delays. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable.
Manlika Rajchakit, Grienggrai Rajchakit
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Generalized Mean Square Exponential Stability for Stochastic Functional Differential Equations
MathematicsThis work focuses on a class of stochastic functional differential equations and neutral stochastic differential functional equations. By using a new approach, some sufficient conditions are obtained to guarantee the generalized mean square exponential ...
Tianyu He, Zhi Li, Tianquan Feng
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Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays
Advances in Difference Equations, 2018 We study fuzzy stochastic bidirectional associative memory cellular neural networks with discrete delays in leakage terms and with continuous and infinitely distributed delays in the transmission terms. Under certain structural assumptions, we prove that
Fosheng Wang, Chengqiang Wang
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Predator-prey Activity-Tuned Ecological System: An Exhilarating Rollercoaster of Survival [PDF]
International Journal of Mathematical, Engineering and Management SciencesIn natural ecosystems, the timing of daily activity in predator and prey plays a crucial role in determining their encounters and evolutionary outcomes. This study explores how coevolution in circadian activity patterns emerges from the dynamic interplay
Rajat Kaushik +2 more
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Nonuniform Mean-square Exponential Dichotomies and Mean-square Exponential Stability
, 2019 In this paper, the existence conditions of nonuniform mean-square exponential dichotomy (NMS-ED) for a linear stochastic differential equation (SDE) are established. The difference of the conditions for the existence of a nonuniform dichotomy between an SDE and an ordinary differential equation (ODE) is that the first one needs an additional assumption,
Zhu, Hailong, Chen, Li, He, Xiuli
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Mean-Square Non-Local Stability of Ship in Storm Conditions of Operation
Polish Maritime Research, 2019 The purpose of the paper is to create a method for studying nonlocal stability in the mean and in the mean square of the ship, positioned on the beam of an intensive wind–waves mode, which is based on the use of the correlation theory of random functions
Nekrasov Valeriy
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MEAN SQUARE STABILITY AND STABILIZATION FOR STOCHASTIC NONLINEAR OSCILLATIONS
IFAC Proceedings Volumes, 2007 Abstract An exponential mean square stability for the limit cycles of nonlinear stochastic systems is considered. The first approximation linear systems are introduced and a notion of P-stability (projective) is proposed. A spectral criterion for P-stability is obtained.
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Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations [PDF]
LMS Journal of Computation and Mathematics, 2003 AbstractPositive results are proved here about the ability of numerical simulations to reproduce the exponential mean-square stability of stochastic differential equations (SDEs). The first set of results applies under finite-time convergence conditions on the numerical method.
Higham, D.J., Mao, X., Stuart, A.M.
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Mean Square Exponential Stability of Stochastic Complex-Valued Neural Networks with Mixed Delays
Complexity, 2019 This paper investigates the mean square exponential stability problem of a class of complex-valued neural networks with stochastic disturbance and mixed delays including both time-varying delays and continuously distributed delays.
Xiaohui Xu, Jibin Yang, Yanhai Xu
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