4 papers
Nonautonomous Linear Systems: Exponential Dichotomy and its Applications
Álvaro Castañeda, Gonzalo Robledo
The first purpose of this work is to provide a friendly introduction to the theory of nonautonomous linear systems of ordinary differential equations, the property of exponential d…
Generalized Evolution Semigroups and Dichotomies for Evolution Families on Banach Spaces
Álvaro Castañeda, Verónica Poblete, Gonzalo Robledo
This paper develops a comprehensive theory generalizing exponential decay patterns for evolution processes in Banach spaces. We replace classical exponential bounds with more flexi…
Smoothness of linearization by mixing parameters of dichotomy, bounded growth and perturbation
Álvaro Castañeda, Ignacio Huerta, Gonzalo Robledo
We study the smoothness properties of a global and nonautonomous topological conjugacy between a linear system and a quasilinear perturbation. The linear system exhibits a nonunifo…
A Spectral Dichotomy Version of the Nonautonomous Markus--Yamabe Conjecture
Álvaro Castañeda, Gonzalo Robledo
In this article we introduce a nonautonomous version of the Markus--Yamabe conjecture from an exponential dichotomy spectrum point of view. We prove the validity of this conjecture…