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Browsing by Subject "Karhunen-Loeve expansion"

Now showing items 1-5 of 5

Analysis of random non-autonomous logistic-type differential equations via the Karhunen-Loeve expansion and the Random Variable Transformation technique

Cortés, J.-C.; Navarro-Quiles, A.; Romero, José-Vicente; Roselló, María-Dolores (Elsevier, 2019)

[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 ...
Mathematical methods for the randomized non-autonomous Bertalanffy model

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 ...
Probabilistic analysis of a class of 2D-random heat equations via densities

Bevia-Escrig, Vicente-José; Calatayud, J.; Cortés, J.-C. (Elsevier, 2023-12)

[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 ...
Probabilistic analysis of a class of impulsive linear random differential equations forced by stochastic processes admitting Karhunen-Loève expansions

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 ...
Uncertainty quantification for random parabolic equations with non-homogeneous boundary conditions on a bounded domain via the approximation of the probability density function

Calatayud-Gregori, Julia; Cortés, J.-C.; Jornet-Sanz, Marc (John Wiley & Sons, 2019-11-30)

[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 ...