Existence of Optimal Mild Solutions for Multi-valued Impulsive Stochastic Partial Functional Integrodifferential Equations
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-018-0096-8
Abstract: In this paper, we introduce a new class of multi-valued impulsive stochastic partial functional integrodifferential equations with infinite delay in the $$\alpha $$α-norm. Using stochastic analysis, analytic semigroup and fixed point strategy with the properties… read more here.
Keywords: valued impulsive; existence; mild solutions; stochastic partial ... See more keywords
The p-th moment stability of solutions to impulsive stochastic differential equations driven by G-Brownian motion
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DOI: 10.1080/00036811.2016.1169529
Abstract: In this paper, we consider a class of impulsive stochastic differential equations driven by G-Brownian motion (IGSDEs in short). By means of the G-Lyapunov function method, some criteria on p-th moment stability and p-th moment… read more here.
Keywords: moment; stochastic differential; equations driven; differential equations ... See more keywords
Stability of square-mean almost automorphic mild solutions to impulsive stochastic differential equations driven by G-Brownian motion
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DOI: 10.1080/00207179.2019.1575527
Abstract: ABSTRACT In this paper, we consider a class of impulsive stochastic differential equations driven by G-Brownian motion (IGSDEs, in short). In particular, we study the exponentially and quasi sure exponential stability of the square-mean almost… read more here.
Keywords: stochastic differential; brownian motion; equations driven; differential equations ... See more keywords
Asymptotical Stability and Exponential Stability in Mean Square of Impulsive Stochastic Time-Varying Neural Network
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DOI: 10.1109/access.2023.3268645
Abstract: The effect of impulse on stability of neural network is evident not only in performance, that is, impulsive control and impulsive interference. The amount of impulse has a certain impact on stability of neural network.… read more here.
Keywords: neural network; time; mean square; impulsive stochastic ... See more keywords
Stability Analysis for Impulsive Stochastic Time-Varying Systems
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DOI: 10.1109/tac.2022.3190197
Abstract: The average impulsive interval is widely used to describe the frequency of impulsive occurrence (FIO), where the occurrence number of impulses is bounded by a linear function of time interval length. However, the linear relationship… read more here.
Keywords: varying systems; time; impulsive stochastic; stability ... See more keywords
Periodic averaging method for impulsive stochastic dynamical systems driven by fractional Brownian motion under non-Lipschitz condition
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DOI: 10.1186/s13662-019-2466-9
Abstract: This paper presents the periodic averaging principle for impulsive stochastic dynamical systems driven by fractional Brownian motion (fBm). Under non-Lipschitz condition, we prove that the solutions to impulsive stochastic differential equations (ISDEs) with fBm can… read more here.
Keywords: stochastic dynamical; driven fractional; systems driven; dynamical systems ... See more keywords
Dynamics of an Impulsive Stochastic Predator-Prey System with the Beddington-DeAngelis Functional Response
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DOI: 10.3390/axioms10040323
Abstract: Taking impulsive effects into account, an impulsive stochastic predator–prey system with the Beddington–DeAngelis functional response is proposed in this paper. First, the impulsive system is transformed into an equivalent system without pulses. Then, by constructing… read more here.
Keywords: system; impulsive stochastic; system beddington; prey system ... See more keywords