Discontinuous solutions of neutral functional differential equations.

J. C. F. Oliveira; Luiz Fichmann

Publicacions Matemàtiques (1993)

  • Volume: 37, Issue: 2, page 369-386
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Oliveira, J. C. F., and Fichmann, Luiz. "Discontinuous solutions of neutral functional differential equations.." Publicacions Matemàtiques 37.2 (1993): 369-386. <http://eudml.org/doc/41538>.

@article{Oliveira1993,
abstract = {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.},
author = {Oliveira, J. C. F., Fichmann, Luiz},
journal = {Publicacions Matemàtiques},
keywords = {Ecuaciones diferenciales funcionales; Teorema de existencia; Unicidad; Derivabilidad; Continuidad; existence; uniqueness; continuous differentiability; neutral functional differential equations},
language = {eng},
number = {2},
pages = {369-386},
title = {Discontinuous solutions of neutral functional differential equations.},
url = {http://eudml.org/doc/41538},
volume = {37},
year = {1993},
}

TY - JOUR
AU - Oliveira, J. C. F.
AU - Fichmann, Luiz
TI - Discontinuous solutions of neutral functional differential equations.
JO - Publicacions Matemàtiques
PY - 1993
VL - 37
IS - 2
SP - 369
EP - 386
AB - 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.
LA - eng
KW - Ecuaciones diferenciales funcionales; Teorema de existencia; Unicidad; Derivabilidad; Continuidad; existence; uniqueness; continuous differentiability; neutral functional differential equations
UR - http://eudml.org/doc/41538
ER -

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