Solving Second-Order Linear Differential Equations with Random Analytic Coefficients about Regular-Singular Points

Autor: Juan-Carlos Cortés, Ana Navarro-Quiles, José-Vicente Romero, María-Dolores Roselló

Publikováno v: Mathematics, Vol 8, Iss 2, p 230 (2020)

In this contribution, we construct approximations for the density associated with the solution of second-order linear differential equations whose coefficients are analytic stochastic processes about regular-singular points. Our analysis is based on

Externí odkaz: https://doaj.org/article/ac4bd1a80f024af6ae805c2f29158415

First-order linear differential equations whose data are complex random variables: Probabilistic solution and stability analysis via densities

Autor: n, Valencia, Spain, Juan Carlos Cortés, José Vicente Romero, Ana Navarro-Quiles, M.-D. Roselló

Publikováno v: AIMS Mathematics, Vol 7, Iss 1, Pp 1486-1506 (2022)

[EN] Random initial value problems to non-homogeneous first-order linear differential equations with complex coefficients are probabilistically solved by computing the first probability density of the solution. For the sake of generality, coefficient

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6867f6a8577523fa843bb3acc4cef5ac
https://www.aimspress.com/article/doi/10.3934/math.2022088?viewType=HTML

Solving fully randomized first-order linear control systems: Application to study the dynamics of a damped oscillator with parametric noise under stochastic control

Autor: María Dolores Roselló, José Vicente Romero, Ana Navarro-Quiles, Juan Carlos Cortés

[EN] This paper is devoted to study random linear control systems where the initial condition, the final target, and the elements of matrices defining the coefficients are random variables, while the control is a stochastic process. The so-called Ran

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37f331cb6d4d4a36438dd694def76379
https://doi.org/10.1016/j.cam.2021.113389

Effect of uncertain damping coefficient on the response of a SDOF system

Autor: Ana Navarro-Quiles, Rossella Laudani, Giovanni Falsone

Publikováno v: Navarro Quiles, Ana Laudani, Rossella Falsone, Giovanni 2022 Effect of uncertain damping coefficient on the response of a SDOF system Probabilistic Engineering Mechanics 68 1 12

In this paper, a full probabilistic description of the response of a randomized SDOF system in both the time and the frequency domain is done. Considering that the damping of the structure does not simply relate to any single physical phenomenon, the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54b69a7c44191f53ccba428085f9af33
https://hdl.handle.net/10550/86599

A full probabilistic analysis of a randomized kinetic model for reaction–deactivation of hydrogen peroxide decomposition with applications to real data

Autor: Ana Navarro-Quiles, Juan Carlos Cortés, José Vicente Romero, María Dolores Roselló

Publikováno v: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
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[EN] The classical kinetic equation has been broadly used to describe reaction and deactivation processes in chemistry. The mathematical formulation of this deterministic nonlinear differential equation depends on reaction and deactivation rate const

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1dcb02971c43e931e5205ab48c2b5a50
https://doi.org/10.1007/s10910-021-01247-1