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An upper bound for the distance between a zero and a critical point of a solution of a second order linear differential equation

Almenar, Pedro; Jódar Sánchez, Lucas Antonio (Elsevier, 2012-01)

This paper presents an upper bound for the distance between a zero and a critical point of a solution of the second order linear differential equation (p(x)y¿)¿+q(x)y(x)=0(p(x)y¿)¿+q(x)y(x)=0, with p(x),q(x)>0p(x),q(x)>0. ...
Random Hermite differential equations: Mean square power series solutions and statistical properties

Calbo Sanjuán, Gema; Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio (Elsevier, 2011-12-01)

This paper deals with the construction of random power series solution of second order linear differential equations of Hermite containing uncertainty through its coefficients and initial conditions. Under appropriate ...
Solving the random Legendre differential equation: Mean square power series solution and its statistical functions

Calbo Sanjuán, Gema; Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Villafuerte Altuzar, Laura (Elsevier, 2011-05)

In this paper we construct, by means of random power series, the solution of second order linear differential equations of Legendre-type containing uncertainty through its coefficients and initial conditions. By assuming ...

Mostrando ítems 1-3 de 3