[PDF] Top 20 Stability of highly nonlinear neutral stochastic differential delay equations
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Stability of highly nonlinear neutral stochastic differential delay equations
... for neutral stochastic differential delay equations (NSDDEs) have been studied intensively for the past several ...or nonlinear but bounded by linear ...the stability of ... See full document
7
Exponential stability of the Euler-Maruyama method for neutral stochastic functional differential equations with jumps
... Neutral stochastic functional differential equations (NSFDEs) have received increasing attention, due to their wide applications in chemical engineering systems, aeroelasticity and automatic control, ... See full document
16
Exponential stability of fractional stochastic differential equations with distributed delay
... a stochastic delay differential equation driven by a fractional Brow- nian motion with Hurst parameter H > ...for stochastic delay differential equations with hereditary drift driven ... See full document
8
Almost sure exponential stability of stochastic differential delay equations
... unstable differential equation ˙ x(t) = αx(t), we see that it is the stochastic feedback control σx(t)dB (t) that stabilizes the unstable system ˙ x(t) = ...αx(t). Stochastic stabi- lization of ... See full document
16
Partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching by boundary condition
... the stability of a stochastic differential equation, which has attracted much attention since it is not only academically challenging, but also of practical importance, and has played an important role in ... See full document
8
Nonoscillatory solutions for higher order nonlinear neutral delay differential equations
... lim t→+∞ g(t) = + ∞ . Utilizing the Banach fixed point theorem, they obtained the existence of bounded nonoscillatory solutions for (.), suggested some algorithms for approximat- ing these bounded nonoscillatory ... See full document
34
Stability criteria on delay dependent robust stability for uncertain neutral stochastic nonlinear systems with time delay
... to stochastic systems governed by Itô stochastic differential equations, where the noises are described by Brownian motion [15, ...robust stochastic stabilization and robust H ∞ ... See full document
19
Stability of two classes of improved backward Euler methods for stochastic delay differential equations of neutral type
... time delay included in the state derivatives (see [2] and ...these equations cannot be solved explicitly, numerical approximations became to be an important tool in studying stochastic systems of ... See full document
13
Numerical solution of stochastic state dependent delay differential equations: convergence and stability
... mean-square stability of the split-step backward Euler method to linear SDDEs with constant lag and took the stepsize as a multiplier of ...time-dependent delay where a piecewise linear interpolation is ... See full document
34
Analysis of stability for stochastic delay integro differential equations
... for stochastic delay integro-differential equations in ...mean-square stability of nu- merical solutions. In Sect. 5, we will discuss stability of nonlinear stochastic ... See full document
13
Exponential stability of mild solutions to impulsive stochastic neutral partial differential equations with memory
... the stability theorems, it is not so suitable in the non-delay ...have stochastic differentials, so that one cannot apply the Itô formula to ...the stability of mild solutions should be ... See full document
9
Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients
... on stability and boundedness have received a great deal of ...robust stability of linear delay ...robust stochastic stability of a linear system. In [27], robust stability of ... See full document
17
The almost sure stability of coupled system of stochastic delay differential equations on networks
... of nonlinear differential equations on networks have been applied widely, especially in the mechanical, electronic, and biological fields ...differential equations called a vertex system [, ...overall ... See full document
22
A Generalized Halanay Inequality for Stability of Nonlinear Neutral Functional Differential Equations
... the stability and dissipativity of various functional differential equations by several researchers see, ...the stability of nonlinear neutral functional differential equations ... See full document
16
Generalised criteria on delay dependent stability of highly nonlinear hybrid stochastic systems
... the stability of delay ...the stability of differential delay equations (DDEs) while [31] contains a nice literature ...of stability of stochastic ... See full document
18
Integral Inequality and Exponential Stability for Neutral Stochastic Partial Differential Equations with Delays
... of delay differential equations, in the particular case when we are concerned with the mild solution of stochastic partial differential equations, Lyapunov’s second method, although it is ... See full document
15
Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay
... differential equations. For example, robust stability and stabilization of fractional-order in- terval systems were investigated in ...a stability theorem for fractional- order nonlinear ... See full document
14
Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations
... of neutral stochastic functional differential equations excluding neutral stochastic differential delay equations, but the results obtained in this paper are ... See full document
14
Delay-dependent exponential stability of neutral stochastic delay systems
... with neutral func- tional differential equations that include neutral delay differen- tial ...called neutral-type systems or neutral ...deterministic neutral ... See full document
6
Existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay under non Lipschitz conditions
... solution to NSFDEs. For neutral stochastic functional differential equations with infinite delay (INSFDEs in short), in , Zhou et al. [] established the existence and unique- ness theorem ... See full document
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