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Dynamics of Nonautomous Impulsive Multivalued Processes
(Springer, 2023-02-10)
In this paper we study the asymptotic behaviour of multivalued processes which are under the influence of impulsive action. We provide conditions to guarantee the existence of a pullback attractor and we illustrate the ...
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h-stability in p-th moment of neutral pantograph stochastic di erential equations with Markovian switching driven by L evy noise
(Elsevier, 2021-10-01)
In this paper we investigate the h-stability in p-th moment of neutral pantograph stochastic differential equations with Markovian switching driven by Lévy noise. The main tool used to prove the results is the Lyapunov ...
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On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel
(American Mathematical Society, 2021-08-01)
In this paper, a nonlinear time-fractional Volterra equation with nonsingular Mittag-Leffler kernel in Hilbert spaces is studied. By applying the properties of Mittag-Leffler functions and the method of eigenvalue expansion, ...
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Global controllability of the bousiinesq system with Navier-slip-with-friction and Robin boundary conditions
(SIAM, 2023-04-30)
In this paper, we deal with the global exact controllability to the trajectories of theBoussinesq system posed in 2D or 3D smooth bounded domains. The velocity field of the fluid mustsatisfy a Navier-slip-with-friction ...
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On a stochastic nonlocal system with discrete diffusion modeling life tables
(World scientific, 2021-10-20)
In this paper we study an stochastic system of differential equations with nonlocal discrete diffusion. For two type of noises we study the existence of either positive or probability solutions. Also, we analyse the ...
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Analysis of a stochastic coronavirus (COVID-19) L´evy jump model with protective measures
(Taylor & Francis, 2021-09-30)
This paper studied a stochastic epidemic model of the spread of the novel coronavirus (COVID19). Severe factors impacting the disease transmission are presented by white noise and compensated poisson noise with possibly ...
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Asymptotic behavior of nonlocal partial differential equations with long time memory
(AIMS, 2022-10-01)
In this paper, it is first addressed the well-posedness of weak solutions to a nonlocal partial differential equation with long time memory, which is carried out by exploiting the nowadays well-known technique used by ...
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Invariant measures for stochastic 3D Lagrangian-averaged Navier–Stokes equations with infinite delay
(Elsevier, 2023-04-05)
In this paper we investigate stochastic dynamics and invariant measures for stochastic 3D Lagrangian-averaged NavierStokes (LANS) equations driven by infinite delay and additive noise. We first use the Galerkin approximations, ...
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Attractors for locally damped Bresse systems and a unique continuation property
(Cornell University, 2021-02-24)
This paper is devoted to Bresse systems, a robust model for circular beams, given by a set of three coupled wave equations. The main objective is to establish the existence of global attractors for dynamics of semilinear ...
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Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on in nite lattices
(Elsevier, 2021-04-05)
We first verify the global well-posedness of the impulsive reaction-diffusion equations on infinite lattices. Then we establish that the generated process by the solution operators has a pullback attractor and a family of ...