92 citations · 92 across the 6 of their papers we have counts for
7 papers
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…
Safe trajectory of a piece moved by a robot
Ernest Benedito, Oliver Bond, Thomas Babb +3
In this work, we propose a mathematical model for a physical problem based on the movement of a metal piece held by a robot. Using the principles of Kirchoff plate theory, a set of…
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…
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…
Curves and surfaces with constant nonlocal mean curvature: meeting Alexandrov and Delaunay
Xavier Cabre, Mouhamed Moustapha Fall, Joan Solà-Morales +1
We are concerned with hypersurfaces of with constant nonlocal (or fractional) mean curvature. This is the equation associated to critical points of the fractional pe…
Optimal scalar products in the Standard Linear Viscoelastic Model
M. Pellicer, J. Solà-Morales
We study the third order in time linear dissipative wave equation known as the Standard Linear Viscoelastic Model, that appears also as the linearization of the so-called Moore-Gib…
Instability and bifurcation in a trend depending price formation model
María del Mar González, Maria Pia Gualdani, Joan Solà-Morales
A well-known model due to J.-M. Lasry and P.L. Lions that presents the evolution of prices in a market as the evolution of a free boundary in a diffusion equation is suggested to b…