The fundamental theory of existence, uniqueness and continuous differentiability of Lp-solutions for Neutral Functional Differential Equations is presented. Also, the spectrum of the solution operator of general autonomous linear NFDEs is described. Finally, an extension of Hartman Grobman Theorem on local conjugacy near a hyperbolic equilibrium is proved.
@article{urn:eudml:doc:41538,
title = {Discontinuous solutions of neutral functional differential equations.},
journal = {Publicacions Matem\`atiques},
volume = {37},
year = {1993},
pages = {369-386},
mrnumber = {MR1249239},
zbl = {0799.34071},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41538}
}
Oliveira, J. C. F.; Fichmann, Luiz. Discontinuous solutions of neutral functional differential equations.. Publicacions Matemàtiques, Tome 37 (1993) pp. 369-386. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41538/