13 citations · 73 across the 22 of their papers we have counts for
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Liouvillian solutions for second order linear differential equations with polynomial coefficients
Primitivo B. Acosta-Humánez, David Blázquez-Sanz, Henock Venegas-Gómez
In this paper we present an algebraic study concerning the general second order linear differential equation with polynomial coefficients. By means of Kovacic's algorithm and asymp…
Liouvillian Solutions of Schrödinger Equation with Polynomial Potentials using Gröbner Basis
Primitivo Belén Acosta-Humánez, Henock Venegas-Gómez
The main aim of this paper is the presentation of a new methodology to obtain Liouvillian solutions of stationary one dimensional Schrödinger equation with quasi-solvable polynomia…
Differential Galois Groups and Representation of Quivers for Seismic Models with Constant Hessian of Square of Slowness
Primitivo Acosta-Humánez, Hernán Giraldo, Carlos Piedrahita
The trajectory of energy is modeled by the solution of the Eikonal equation, which can be solved by solving a Hamiltonian system. This system is amenable of treatment from the poin…
A model of anaerobic digestion for biogas production using Abel equations
Primitivo B. Acosta-Humánez, Maximiliano Machado-Higuera, Alexander V. Sinitsyn
Some time ago has been studied mathematical models for biogas production due to its importance in the use of control and optimization of re\-new\-able resources and clean energy. I…
Liouvillian Propagators, Riccati Equation and Differential Galois Theory
Primitivo B. Acosta-Humánez, Erwin Suazo
In this paper a Galoisian approach to build propagators through Riccati equations is presented. The main result corresponds to the relationship between the Galois integrability of…