[EN] This paper deals with the study, from a probabilistic point of view, of logistic-type differential equations with uncertainties. We assume that the initial condition is a random variable and the diffusion coefficient ...
Calatayud, Julia; Caraballo, Tomás; Cortés, J.-C.; Jornet, Marc(Texas State University. Department of Mathematics, 2020-05-26)
[EN] In this article we analyze the randomized non-autonomous Bertalanffy model
x' (t, omega) = a(t, omega)x(t, omega) b(t, omega)x(t, omega)(2/3), x(t(0), omega) = x(0)(omega),
where a(t, omega) and b(t, omega) are ...
[EN] We give new probabilistic results for a class of random two-dimensional homogeneous heat equations with mixed homogeneous Dirichlet and Neumann boundary conditions and an arbitrary initial condition on a rectangular ...
Cortés, J.-C.; Delgadillo-Alemán, Sandra E.; Ku-Carrillo, Roberto A.; Villanueva Micó, Rafael Jacinto(American Institute of Mathematical Sciences, 2022-09)
[EN] We study a full randomization of the complete linear differential equation subject to an infinite train of Dirac's delta functions applied at different time instants. The initial condition and coefficients of the ...
[EN] This paper deals with the randomized heat equation defined on a general bounded interval [L-1, L-2] and with nonhomogeneous boundary conditions. The solution is a stochastic process that can be related, via changes ...