Cortés, J.-C.; García Moreno, E.; Navarro-Quiles, A.(2017-04)
[EN] This paper deals with the randomization of the classical malthusian model using a markovian approach. We show that the solution stochastic process, usually referred to as birth process, corresponds to the shift negative ...
[EN] This work concentrates on a result gives by Giuseppe Peano which allows the obtention of the classical theorems about differential calculus by Lagrange and Cauchy. We shall also apply Peano's result in order to obtain ...
[EN] This article shows how infinite radical representations of all positive integers are obtained by means of recurrent sequences generated from algebraic identities.
Calatayud Gregori, Julia; Cortés López, Juan Carlos; Jornet Sanz, Marc; Villanueva Micó, Rafael Jacinto(Editorial Universitat Politècnica de València, 2019-10-01)
This book is aimed at covering the bases on random variables, random vectors and stochastic processes, necessary to be able to address the study of stochastic models based mainly on random and stochastic differential ...
[EN] The aim of this paper is to perform a stochastic analysis of nonlinear oscillators subject to
stationary Gaussian forcing sources using the random perturbation technique along with the
Maximum Entropy Principle. By ...
Santonja, F.-J.; Morales, A.; Villanueva Micó, Rafael Jacinto; Cortés López, Juan Carlos(Elsevier, 2012-02)
Excess weight is fast becoming a serious health concern in the developed and developing world. The concern of the public health sector has lead to the development of public health campaigns, focusing on two-fold goals: to ...
[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; Cortés, J.-C.(Editura Academiei Romane, 2021)
[EN] In this paper we study the randomized heat equation with homogeneous boundary conditions. The diffusion coefficient is assumed to be a random
variable and the initial condition is treated as a stochastic process. The ...
[EN] In this paper, we deal with the randomized generalized diffusion equation with delay:u(t)(t, x) = a(2)u(xx)(t, x) + b(2)u(xx)(t - tau, x),t > tau,0 <= x <= l;u(t,0)=u(t,l)=0,t >= 0;u(t,x)=phi(t,x),0 <= t <= tau,0 <= ...
Casabán Bartual, Mª Consuelo; Cortés López, Juan Carlos; García Mora, María Belén; Jódar Sánchez, Lucas Antonio(Hindawi Publishing Corporation, 2013)
[EN] This paper deals with the analytic-numerical solution of random heat problems for the temperature distribution in a semi-infinite bar with different boundary value conditions. We apply a random Fourier sine and cosine ...
Casabán, M.C.; Cortés, J.-C.; Jódar Sánchez, Lucas Antonio(Vilnius Gediminas Technical University, 2018)
[EN] This paper deals with the construction of mean square analytic-numerical solution of parabolic partial differential problems where both initial condition and coefficients are stochastic processes. By using a random ...
Lenze Juliá, Álvaro(Universitat Politècnica de València, 2014-12-23)
[ES] En la actualidad, vivimos en un sistema en el que la gestión del capital es clave para cualquier miembro de la sociedad. La previsión y planificación financiera de las personas es vital para mantener o mejorar la ...
[EN] In this work we study through differential equations systems several models of natural behaviour between animals into a comun ecosystem. Finally, we show a wide collection of examples in order to point out the biological ...
[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 ...
Cortés López, Juan Carlos; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores; Villanueva Micó, Rafael Jacinto(Scientific Research Publishing, 2012)
This paper proposes a stochastic model to study the evolution of normal and excess weight population between 24 - 65 years old in the region of Valencia (Spain). An approximate solution process of the random model is ...
Calatayud-Gregori, Julia; Cortés, J.-C.; Jornet-Sanz, Marc(Texas State University. Department of Mathematics, 2019-07-16)
[EN] Solving a random differential equation means to obtain an exact or approximate expression for the solution stochastic process, and to compute its statistical properties, mainly the mean and the variance functions. ...
[EN] We combine the stochastic perturbation method with the maximum entropy principle to construct approximations of the first probability density function of the steady-state solution of a class of nonlinear oscillators ...
Cortés, J.-C.; Debón Aucejo, Ana María(Sociedad Andaluza de Educacion Matematica Thales, 2002)
[ES] En este trabajo estudiamos cuatro modos clásicos de convergencia estocástica: en probabilidad, casi segura , en media cuadrática y en distribución. El artículo está basado en la interpretación gráfica a través del ...
[EN] In this work, we study the full randomized versions of Airy, Hermite and Laguerre differential equations, which depend on a random variable appearing as an equation coefficient as well as two random initial conditions. ...