[EN] Based on the previous literature about the random logistic and Gompertz models, the aim of this paper is to extend the investigations to the generalized logistic differential equation in the random setting. First, ...
Calatayud Gregori, Julia; Cortés, J.-C.; Dorini, F. A.(World Scientific, 2021-09)
[EN] In this paper, we deal with the non-autonomous logistic growth model with time-dependent intrinsic growth rate and carrying capacity. Accounting for errors in recorded data, randomness is incorporated into the equation ...
[EN] This paper addresses the probabilistic analysis of the deflection of a cantilever beam by means of a randomization of the classical governing fourth-order differential equation with null boundary conditions. The ...
Cortés, J.-C.; Delgadillo-Aleman, Sandra E.; Ku-Carrillo, Roberto A.; Villanueva Micó, Rafael Jacinto(Elsevier, 2021-11)
[EN] An important class of non-homogeneous first-order linear random differential equations subject to an infinite sequence of square impulses with random intensity is studied. In applications, these equations are useful ...
Jornet, Marc; Calatayud, J.; Le Maître, O.P.; Cortés, J.-C.(Elsevier, 2020-08-15)
[EN] This paper concerns the analysis of random second order linear differential equations. Usually, solving these equations consists of computing the first statistics of the response process, and that task has been an ...
[EN] Adsorption kinetics are commonly modeled using pseudo-first order (PFO) and pseudo-second order (PSO) rate laws. Both models are formulated via differential equations whose coefficients are commonly treated as ...
Valencia Sullca, Joaquín Francisco(Universitat Politècnica de València, 2022-09-13)
[ES] El presente trabajo de fin de máster tiene como objetivo aplicar técnicas de perturbación aleatorias para ecuaciones diferenciales con incertidumbre generada por una fuente externa la cual está determinada por procesos ...
[EN] This paper deals with the damped pendulum random differential equation: (X) over double dot(t)+2 omega(0)xi(X) over dot(t) + omega X-2(0)(t) = Y(t), t is an element of [0, T], with initial conditions X(0) = X-0 and ...
[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 ...
[EN] This paper concerns the estimation of the density function of the solution to a random nonautonomous second-order linear differential equation with analytic data processes. In a recent contribution, we proposed to ...