11 papers
On the existence and uniqueness of an inverse problem in epidemiology
Aníbal Coronel, Luis Friz, Ian Hess +1
In this paper we introduce the functional framework and the necessary conditions for the well-posedness of an inverse problem arising in the mathematical modeling of disease transm…
New results for the Nonoscillatory Asymptotic Behavior of High Order Differential Equations of Poincaré type
Aníbal Coronel, Fernando Huancas
In this paper we study the asymptotic behavior of nonoscillatory solutions for high order differential equations of Poincaré type. We introduce two new and more weak than classical…
A result on the existence and uniqueness of stationary solutions for a bioconvective flow model
Aníbal Coronel, Luis Friz, Ian Hess +1
In this note we prove the existence and uniqueness of weak solutions for the boundary value problem modelling the stationary case of the bioconvective flow problem introduced by Tu…
A priori estimates for the system modelling nonhomogeneous asymmetric fluids
Aníbal Coronel, Enrique Fernández-Cara, Marko Rojas-Medar +1
In this paper, we prove some a priori estimates for a system of partial differential equations arising in the nonstationary flow of a nonhomogeneous incompressible asymmetric fluid…
L-Solutions of a Nonlinear Third Order Differential Equation and Asymptotic Behavior of Linear Fourth Order Differential Equations
Aníbal Coronel, Fernando Huancas, Manuel Pinto
In this paper we prove the well-posedness and we study the asymptotic behavior of nonoscillatory -solutions for a third order nonlinear scalar differential equation. The equat…
Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems
Aníbal Coronel, Christopher Maulén, Manuel Pinto +1
In this paper, ordinary and exponential dichotomies are defined in differential equations with equations with piecewise constant argument of general type. We prove the asymptotic e…