3 papers
math.DS2020
A new example on Lyapunov stability
Hildebrando M. Rodrigues, J. Solà-Morales
The purpose of this paper is to present an example of an Ordinary Differential Equation in the infinite-dimensional Hilbert space with being of class $\mathc…
math.DS2019
Stability problems in non autonomous linear differential equations in infinite dimensions
Hildebrando M. Rodrigues, J. Solà-morales, G. K. Nakassima
One goal of this paper is to study robustness of stability of nonautonomous linear ordinary differential equations under integrally small perturbations in an infinite dimensional B…
math.DS2019
An example on Lyapunov stability and linearization
Hildebrando M. Rodrigues, J. Solà-Morales
The purpose of this paper is to present an example of a C1 (in the Fréchet sense) discrete dynamical system in a infinite-dimensional separable Hilbert space for which the origin i…