The Annals of Probability, Vol. 43, No. 6 (November 2015), pp. 3006-3051 (46 pages) We study the nonlinear stochastic heat equation in the spatial domain ℝ, driven by space-time white noise. A central ...
In this paper, we present some new oscillation criteria for nonlinear neutral difference equations of the form Δ(b(n)Δ(a(n)Δz(n))) + q(n)xα(σ(n)) = 0 where z(n) = x(n) + p(n)x(τ(n)), α > 0, b(n) > 0, ...