Solving random homogeneous linear second-order differential equations: a full probabilistic description

DOI10.1007/s00009-016-0716-6zbMath1353.60051OpenAlexW2318637555MaRDI QIDQ346843

Juan-Carlos Cortés, José Vicente Romero, M. C. Casabán, M. D. Roselló

Publication date: 30 November 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/94531

zbMATH Keywords

probability density functionsrandom differential equationsrandom variable transformation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

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Cites Work

• Unnamed Item
• On the linear advection equation subject to random velocity fields
• Solution of the stochastic radiative transfer equation with Rayleigh scattering using RVT technique
• A random differential transform method: theory and applications
• Epidemic models with random coefficients
• Using FEM-RVT technique for solving a randomly excited ordinary differential equation with a random operator
• The probability density function to the random linear transport equation
• Random differential equations in science and engineering
• Random variable transformation for generalized stochastic radiative transfer in finite participating slab media
• Determining the first probability density function of linear random initial value problems by the random variable transformation (RVT) technique: a comprehensive study
• Analytic and numerical solutions of a Riccati differential equation with random coefficients
• A comprehensive probabilistic solution of random SIS-type epidemiological models using the random variable transformation technique
• Probabilistic solution of random SI-type epidemiological models using the random variable transformation technique
• Probabilistic solution of random homogeneous linear second-order difference equations
• Random Differential Equations in Scientific Computing
• Stochastic differential equations. An introduction with applications.