Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations
DOI10.15388/NA.2019.4.3zbMath1478.60183MaRDI QIDQ5225908
Mamadou Abdoul Diop, Amour T. Gbaguidi Amoussou, Carlos Ogouyandjou, Rathinasamy Sakthivel
Publication date: 29 July 2019
Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)
stabilityresolvent operatorRosenblatt processpartial functional differential equationsPoisson jumpsexistence result
Fractional processes, including fractional Brownian motion (60G22) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Cites Work
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- On the asymptotic stability of impulsive neutral stochastic partial integrodifferential equations with variable delays and Poisson jumps
- Stochastic population dynamics driven by Lévy noise
- Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space
- On exponential stability of mild solutions for some stochastic partial integrodifferential equations
- The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion
- Exponential stability for neutral stochastic partial differential equations with delays and Poisson jumps
- Functional differential equations driven by a fractional Brownian motion
- Stochastic evolution equations of jump type: Existence, uniqueness and large deviation princi\-ples
- Exponential stability of nonlinear impulsive neutral differential equations with delays
- Asymptotic stability of impulsive stochastic partial differential equations with infinite delays
- Analytic resolvent operators for integral equations in Banach space
- Stochastic evolution equations and related measure processes
- Integration questions related to fractional Brownian motion
- Functional differential equations in Hilbert spaces driven by a fractional Brownian motion
- Stability of infinite dimensional stochastic evolution equations with memory and Markovian jumps
- Controllability of neutral stochastic functional integro-differential equations driven by fractional Brownian motion
- Neutral stochastic functional differential equation driven by fractional Brownian motion and Poisson point processes
- Existence and Uniqueness of Mild Solutions to Neutral SFDE driven by a Fractional Brownian Motion with non-Lipschitz Coefficients
- UNIT ROOT TESTING FOR FUNCTIONALS OF LINEAR PROCESSES
- Weak convergence to fractional brownian motion and to the rosenblatt process
- Optimal Control of Stochastic Linear Distributed Parameter Systems
- Retarded stochastic differential equations with infinite delay driven by Rosenblatt process
- Analysis of the Rosenblatt process
- On the Almost Sure Stability of Linear Stochastic Distributed-Parameter Dynamical Systems
- Semiparametric bootstrap approach to hypothesis tests and confidence intervals for the Hurst coefficient
- Rate of convergence to the Rosenblatt distribution for additive functionals of stochastic processes with long-range dependence
- Stochastic Equations in Infinite Dimensions
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