Existence of quadratic-mean almost periodic solutions to some stochastic hyperbolic differential equations.
Existence of -almost periodic solutions to a class of nonautonomous stochastic evolution equations.
Existence of square-mean almost periodic mild solutions to some nonautonomous stochastic second-order differential equations.
Existence of viable solutions for a nonconvex stochastic differential inclusion
For the stochastic viability problem of the form dx(t) ∈ F(t,x(t))dt+g(t,x(t))dW(t), x(t) ∈ K(t), where K, F are set-valued maps which may have nonconvex values, g is a single-valued function, we establish the existence of solutions under the assumption that F and g possess Lipschitz property and satisfy some tangential conditions.
Existence, uniqueness and convergence of a particle approximation for the Adaptive Biasing Force process
We study a free energy computation procedure, introduced in [Darve and Pohorille, J. Chem. Phys.115 (2001) 9169–9183; Hénin and Chipot, J. Chem. Phys.121 (2004) 2904–2914], which relies on the long-time behavior of a nonlinear stochastic differential equation. This nonlinearity comes from a conditional expectation computed with respect to one coordinate of the solution. The long-time convergence of the solutions to this equation has been proved in [Lelièvre et al., Nonlinearity21 (2008) 1155–1181],...
Existence, uniqueness and stability results of impulsive stochastic semilinear neutral functional differential equations with infinite delays.
Existencia De Soluciones De Ecuaciones Diferenciales Estocasticas.
Explosion time in stochastic differential equations with small diffusion.
Exponential asymptotic stability of linear Itô-Volterra equations with damped stochastic perturbations.
Exponential stability of modified stochastic approximation procedure.
Extending probability spaces and adapted distribution