Browsing by Author "XX677031"
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A GrobmanHartman theorem for differential equations with piecewise constant arguments of mixed type Pinto Jiménez, Manuel; Robledo Veloso, Gonzalo (European Mathematical SOC, 2018)We obtain sufficient conditions for the existence of a uniformly and Holder continuous homeomorphism between the solutions of a linear differential system with piecewise constant argument of generalized type and the solutions ...

Castañeda, Álvaro; Robledo Veloso, Gonzalo (Elsevier, 2020)In this article we introduce a nonautonomous version of the MarkusYamabe conjecture from an exponential dichotomy spectrum point of view. We prove the validity of this conjecture for the scalar and triangular case. ...

Castañeda González, Álvaro; Robledo Veloso, Gonzalo (Taylor & Francis, 2016)We obtain sufficient conditions ensuring the topological and strong topological equivalence of two perturbed difference systems whose linear part has a property of generalized exponential dichotomy. When the exponential ...

Castañeda González, Álvaro; Robledo Veloso, Gonzalo (American Institute of Mathematical Sciences, 2017)We prove that, under some conditions, a linear nonautonomous difference system is Bylovs almost reducible to a diagonal one whose terms are contained in the Sacker and Sell spectrum of the original system. In the above ...

Pinto Jiménez, Manuel; Robledo Veloso, Gonzalo (Springer, 2015)In this note, we obtain some necessary and sufficient conditions for the controllability and observability in a linear timevarying control system with piecewise constant state variables. The controllability results can ...

Pinto Jiménez, Manuel; Robledo Veloso, Gonzalo (Elsevier, 2013)A linear ODE system with bounded continuous coefficients is studied. Provided that the diagonal terms are ‘‘separated’’ and the offdiagonal terms satisfy a smallness threshold, we present some sufficient conditions for ...

Castañeda González, Alvaro; Robledo Veloso, Gonzalo (American Institute of Mathematical Sciences, 201805)We construct a bijection between the solutions of a linear system of nonautonomous difference equations which is uniformly asymptotically stable and its unbounded perturbation. The key idea used to made this bijection is ...

Castañeda González, Alvaro; Robledo Veloso, Gonzalo (Academic Press Inc Elsevier Science, 2015)We study differentiability properties in a particular case of the Palmer's linearization theorem, which states the existence of a homeomorpbism H between the solutions of a linear ODE system having exponential dichotomy ...

Pinto Jiménez, Manuel; Robledo Veloso, Gonzalo (ELSEVIER SCIENCE INC, 20101215)The existence and global exponential stability of an almost periodic solution of an impulsive neural network model with distributed delays is considered in a matrix setting. The approach transforms the original network ...

Córdova Lepe, Fernando; Robledo Veloso, Gonzalo; Cabrera Villegas, Javier (World Scientific Publ, 2015)This note gives an overview on basic mathematical models describing the population dynamics of a single species whose vital dynamics has different time scales. We present five cases combining two timescales with Malthusian ...

Córdova Lepe, Fernando; Robledo Veloso, Gonzalo; Solis, M. Eugenia (2016)This paper introduces a mathematical model of control for an animal epidemic outbreak in an ideal farm. What has been considered for this is poultry, aquaculture or livestock affected by an infectious disease (without ...

Pinto, Nicolás; Robledo Veloso, Gonzalo (Taylor and Francis Ltd., 2019)We study a liaison between the Bohl's exponents and the exponential dichotomy spectrum of a nonautonomous linear system of difference equations on the whole line Z. More specifically, we prove that for any initial condition ...

Córdova Lepe, Fernando; Valle, Rodrigo A. del; Robledo Veloso, Gonzalo (John Wiley, 2014)A selfcycling fermenter is a batch fermenter subject to recurrent emptyings of liquid volume followed by the refillingwith new fresh substrate. This article constructs amodified model of selfcycling fermenter, which is ...

Díaz Narvaez, Víctor; San Martín Roldán, David; Calzadilla Núñez, Aracelis; San Martín Roldán, Pablo; Parody Muñoz, Alexander; Robledo Veloso, Gonzalo (Universidad Sao Paulo, 2020)Objective: to explore the best type of curve or trend model that could explain the epidemiological behavior of the infection by COVID19 and derive the possible causes that contribute to explain the corresponding model and ...