Using Green type map we can find sufficient conditions under which a impulsive quasilinear equation is dynamically equivalent to its corresponding linear equation. This result extends Grobman - Hartman theorem for equations without ordinary dichotomy.
@article{347,
title = {Dynamical equivalence of impulsive quasilinear equations},
journal = {Tatra Mountains Mathematical Publications},
volume = {62},
year = {2015},
doi = {10.2478/tatra.v63i0.347},
language = {EN},
url = {http://dml.mathdoc.fr/item/347}
}
Reinfelds, Andrejs; Šteinberga, Dzintra. Dynamical equivalence of impulsive quasilinear equations. Tatra Mountains Mathematical Publications, Tome 62 (2015) . doi : 10.2478/tatra.v63i0.347. http://gdmltest.u-ga.fr/item/347/