[HTML][HTML] Numerical scheme and stability analysis of stochastic Fitzhugh–Nagumo model
This article deals with the Fitzhugh–Nagumo equation in the presence of stochastic function.
A numerical scheme has been developed for the solution of such equations which preserves …
A numerical scheme has been developed for the solution of such equations which preserves …
A class of Lévy driven SDEs and their explicit invariant measures
We describe a class of explicit invariant measures for stochastic differential equations driven
by Lévy noise. We relate them to the corresponding Fokker Planck equation. In the …
by Lévy noise. We relate them to the corresponding Fokker Planck equation. In the …
Optimal control of stochastic FitzHugh–Nagumo equation
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Optimal control for the stochastic FitzHugh-Nagumo model with recovery variable
In the present paper we derive the existence and uniqueness of a solution for the optimal
control problem determined by a stochastic FitzHugh-Nagumo equation with recovery …
control problem determined by a stochastic FitzHugh-Nagumo equation with recovery …
On the stochastic Allen-Cahn equation on networks with multiplicative noise
We consider a system of stochastic Allen-Cahn equations on a finite network represented by
a finite graph. On each edge in the graph a multiplicative Gaussian noise driven stochastic …
a finite graph. On each edge in the graph a multiplicative Gaussian noise driven stochastic …
An approximate solution for stochastic Fitzhugh–Nagumo partial differential equations arising in neurobiology models
In this paper, approximate solutions for stochastic Fitzhugh–Nagumo partial differential
equations are obtained using two‐dimensional shifted Legendre polynomial (2DSLP) …
equations are obtained using two‐dimensional shifted Legendre polynomial (2DSLP) …
On the parabolic Cauchy problem for quantum graphs with vertex noise
We investigate the parabolic Cauchy problem associated with quantum graphs including
Lipschitz or polynomial type nonlinearities and additive Gaussian noise perturbed vertex …
Lipschitz or polynomial type nonlinearities and additive Gaussian noise perturbed vertex …
[HTML][HTML] Stochastic reaction-diffusion equations on networks with dynamic time-delayed boundary conditions
We consider a reaction-diffusion equation on a network subjected to dynamic boundary
conditions, with time delayed behavior, also allowing for multiplicative Gaussian noise …
conditions, with time delayed behavior, also allowing for multiplicative Gaussian noise …
Gaussian estimates on networks with dynamic stochastic boundary conditions
In this paper we prove the existence and uniqueness for the solution to a stochastic reaction–
diffusion equation, defined on a network, and subjected to nonlocal dynamic stochastic …
diffusion equation, defined on a network, and subjected to nonlocal dynamic stochastic …
[HTML][HTML] Small noise asymptotic expansions for stochastic PDE's driven by dissipative nonlinearity and Lévy noise
We study a reaction–diffusion evolution equation perturbed by a space–time Lévy noise.
The associated Kolmogorov operator is the sum of the infinitesimal generator of a C 0 …
The associated Kolmogorov operator is the sum of the infinitesimal generator of a C 0 …