- journal article metadata
European Mathematical Society Publishing House
2018-01-11 23:40:02
Zeitschrift für Analysis und ihre Anwendungen
Z. Anal. Anwend.
ZAA
0232-2064
1661-4534
Partial differential equations
Ordinary differential equations
Integral equations
Numerical analysis
10.4171/ZAA
http://www.ems-ph.org/doi/10.4171/ZAA
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2006)
37
2018
1
A Grobman–Hartman Theorem for Differential Equations with Piecewise Constant Arguments of Mixed Type
Manuel
Pinto
Universidad de Chile, Santiago, Chile
Gonzalo
Robledo
Universidad de Chile, Santiago, Chile
Differential equations, piecewise constants arguments, topological equivalence, exponential dichotomy
We obtain sufficient conditions for the existence of a uniformly and Hölder continuous homeomorphism between the solutions of a linear differential system with piecewise constant argument of generalized type and the solutions of a perturbed family. The main tool is a recently introduced definition of exponential dichotomy.
Ordinary differential equations
Difference and functional equations
101
126
10.4171/ZAA/1605
http://www.ems-ph.org/doi/10.4171/ZAA/1605
1
8
2018