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Applying the Random Variable Transformation method to solve a class of random linear differential equation with discrete delay

Caraballo, Tomas; Cortés, JC; Navarro-Quiles, A. (Elsevier, 2019)

[EN] We randomize the following class of linear differential equations with delay, x(tau)' (t) = ax(tau) (t) bx(tau) (t -tau), t> 0, and initial condition, x(tau )(t) = g(t), -tau <= t <= 0, by assuming that coefficients ...
Constructing reliable approximations of the fractional Hermite equation: solution, moments and density

Burgos-Simon, Clara; Caraballo, Tomás; Cortés, J.-C.; Villafuerte, Laura; Villanueva Micó, Rafael Jacinto (Springer-Verlag, 2023-04-01)

[EN] We extend the study of the random Hermite second-order ordinary differential equation to the fractional setting. We first construct a random generalized power series that solves the equation in the mean square sense ...
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 ...

Mostrando ítems 1-3 de 3