39 citations · 51 across the 11 of their papers we have counts for
16 papers
The dichotomy spectrum approach for a global nonuniform asymptotic stability problem: Triangular case via uniformization
Álvaro Castañeda, Ignacio Huerta, Gonzalo Robledo
By considering the nonuniform exponential dichotomy spectrum, we introduce a global asymptotic nonuniform stability conjecture for nonautonomous differential systems, whose restric…
Criterion for exponential dichotomy of periodic generalized linear differential equations and an application to admissibility
Claudio A. Gallegos, Gonzalo Robledo
In this paper, we provide a necessary and sufficient condition ensuring the property of exponential dichotomy for periodic linear systems of generalized differential equations. Thi…
On stability for generalized linear differential equations and applications to impulsive systems
Claudio A. Gallegos, Gonzalo Robledo
In this paper, we are interested in investigating notions of stability for generalized linear differential equations (GLDEs). Initially, we propose and revisit several definitions…
An application of a nonuniform global stability problem to the study of parametrized polynomial automorphisms
Álvaro Castañeda, Ignacio Huerta, Gonzalo Robledo
We propose a handful of definitions of injectivity for a parametrized family of maps and study its link with a global nonuniform stability conjecture for nonautonomous differential…
Topological Equivalence of nonautonomous difference equations with a family of dichotomies on the half line
Álvaro Castañeda, Pablo González, Gonzalo Robledo
A linear system of difference equations and a nonlinear perturbation are considered, we obtain sufficient conditions to ensure the topological equivalence between them, namely, the…
Some relations between Bohl Exponents and the Exponential Dichotomy spectrum
Nicolas Pinto, Gonzalo Robledo
We study a liaison between the Bohl's exponents and the exponential dichotomy spectrum of a non autonomous linear system of difference equations on the whole line . Mor…