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/