Impulsive stochastic partial delay differential equations with
The exponential stability for stochastic delay partial differential equations
... Keywords: Stochastic partial functional differential equations; Energy solutions; Energy equation; Exponential stability ...Recently stochastic partial differential ...
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Approximate controllability of impulsive fractional stochastic differential equations with state dependent delay
... fractional impulsive stochastic differential system under the assumption that the corresponding linear system is approximately ...calculus, stochastic analysis, and the technique of stochastic ...
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Long time behavior of fractional impulsive stochastic differential equations with infinite delay
... last section is devoted to show the exponential asymptotic behavior of mild solutions for fractional impulsive stochastic differential equations with infinite delay under some ...
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The Exponential Stability of Neutral Stochastic Delay Partial Differential Equations
... neutral equations arises from problems related to coupled oscillators in a noisy environment, or in problems of viscoeslastic materials under random or stochastic influences (see [24] for a description of ...
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Survey of Impulsive Differential Equations with Continuous Delay
... on impulsive differential equations with continuous delays, an area of differential equations which is lately drawing some attention ([1], ...of differential equations - ...
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Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay
... fractional stochastic impulsive neutral functional differential equations with infi- nite ...the stochastic disturbances are described in terms of a Brownian ...differential equations with ...
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On Lp(k) equivalence of impulsive differential equations and its applications to partial impulsive differential equations
... perturbed impulsive differential equations with an unbounded linear part in an arbitrary Banach ...involving partial impulsive differential equations of the parabolic ...
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Stochastic Taylor Methods for Stochastic Delay Differential Equations
... time delay can be modeled via stochastic delay differential equations ...from stochastic Taylor expansions with time delay showed a strong order of convergence of ...
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Exponential stability of mild solutions to impulsive stochastic neutral partial differential equations with memory
... to impulsive stochastic neutral partial differential equations with ...the impulsive stochastic system are obtained by establishing a new integral ...
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On neutral impulsive stochastic differential equations with Poisson jumps
... Keywords: Stochastic differential equations; Contraction mapping; Continuous dependence exponential stability; Poisson process; Impulsive system 1 Introduction Stochastic differential ...
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Exponential stability of impulsive stochastic functional differential equations
... Introduction Stochastic differential equation is an emerging field drawing attention from both theoretical and applied disciplines, which has been successfully applied to problems in mechanics, electricity, ...
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Impulsive integral inequalities for attracting and quasi invariant sets of impulsive stochastic partial differential equations with infinite delays
... of stochastic partial differential equa- tions has been investigated by many authors, and some fruitful results have already been achieved (see ...of stochastic partial differential equa- tions ...
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Asymptotic behaviours of stochastic differential delay equations
... his stochastic calculus more than 50 years ago, the theory of stochastic differential equations has been developed very ...with stochastic stability by many authors, and we here only ...
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Quasilinear Stochastic Partial Differential Equations
... the stochastic integral with respect to a cylindrical Wiener ...specific stochastic PDEs. The existence of solutions to stochastic PDEs with locally monotone coefficients is the starting point for ...
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Approximate controllability of impulsive partial neutral stochastic functional integro differential inclusions with infinite delay
... of partial neutral stochastic functional integro-differential inclusions with infinite delay and impulsive effects in Hilbert spaces is ...inequality, stochastic analysis and fixed point ...
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Stochastic Runge-Kutta method for stochastic delay differential equations
... specifically stochastic Runge–Kutta with time delay, we propose to derive SRK for SDDE in this research as well as to approximate the strong solution of SDDE via this ...of differential ...
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Solvability of impulsive partial neutral second-order functional integro-differential equations with infinite delay
... for impulsive partial neutral second-order functional integro-differential equations with infinite delay in Banach ...the impulsive term, some restrictive conditions on a priori ...
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Formulation of Impulsive Differential Equations with Time-Dependent Continuous Delay
... in impulsive delay differential equations has been undergoing some exciting growth in recent ...that differential equations, in general, and indeed impulsive delay ...
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Stability of delayed impulsive stochastic differential equations driven by a fractional Brown motion with time varying delay
... Full list of author information is available at the end of the article Abstract We study the stability problem of mild solutions of impulsive stochastic differential equations driven by a fractional ...
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Existence, uniqueness and stability results for impulsive stochastic functional differential equations with infinite delay and poisson jumps
... of impulsive stochastic functional differential equations with infinite delay and Poisson jumps under non-Lipschitz condition with Lipschitz condition being considered as a special case ...
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