Beyond the hypothesis of boundedness for the random coefficient of Airy, Hermite and Laguerre differential equations with uncertainties
DOI10.1080/07362994.2020.1733017zbMath1466.34056OpenAlexW3015058894MaRDI QIDQ4986445
Marc Jornet Sanz, Julia Calatayud Gregori, Juan-Carlos Cortés
Publication date: 27 April 2021
Published in: Stochastic Analysis and Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10251/162594
random differential equationsecond-order linear differential equationFröbenius methodmean square calculusmean fourth calculus
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30) Ordinary differential equations and systems with randomness (34F05)
Related Items
Cites Work
- Random Hermite differential equations: mean square power series solutions and statistical properties
- Analytic stochastic process solutions of second-order random differential equations
- Random Airy type differential equations: mean square exact and numerical solutions
- Solving the random Legendre differential equation: mean square power series solution and its statistical functions
- Random differential operational calculus: theory and applications
- Mean square power series solution of random linear differential equations
- Random differential equations in science and engineering
- Recent developments on the moment problem
- Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties
- Improving the approximation of the first- and second-order statistics of the response stochastic process to the random Legendre differential equation
- On the convergence of generalized polynomial chaos expansions
- Random Differential Equations in Scientific Computing
- Unnamed Item
- Unnamed Item
- Unnamed Item
