Extremal Solutions for a Class of Functional Differential Equations

Ceppitelli, Rita, and Faina, Loris. "Extremal Solutions for a Class of Functional Differential Equations." Serdica Mathematical Journal 23.1 (1997): 69-94. <http://eudml.org/doc/11604>.

@article{Ceppitelli1997,
abstract = {We study, in Carathéodory assumptions, existence, continuation and continuous dependence of extremal solutions for an abstract and rather general class of hereditary differential equations. By some examples we prove that, unlike the nonfunctional case, solved Cauchy problems for hereditary differential equations may not have local extremal solutions.},
author = {Ceppitelli, Rita, Faina, Loris},
journal = {Serdica Mathematical Journal},
keywords = {Extremal Solutions; Hereditary Setting; Carathéodory Assumptions; existence; uniqueness; continuous dependence; functional differential equation; Volterra property},
language = {eng},
number = {1},
pages = {69-94},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Extremal Solutions for a Class of Functional Differential Equations},
url = {http://eudml.org/doc/11604},
volume = {23},
year = {1997},
}

TY - JOUR
AU - Ceppitelli, Rita
AU - Faina, Loris
TI - Extremal Solutions for a Class of Functional Differential Equations
JO - Serdica Mathematical Journal
PY - 1997
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 23
IS - 1
SP - 69
EP - 94
AB - We study, in Carathéodory assumptions, existence, continuation and continuous dependence of extremal solutions for an abstract and rather general class of hereditary differential equations. By some examples we prove that, unlike the nonfunctional case, solved Cauchy problems for hereditary differential equations may not have local extremal solutions.
LA - eng
KW - Extremal Solutions; Hereditary Setting; Carathéodory Assumptions; existence; uniqueness; continuous dependence; functional differential equation; Volterra property
UR - http://eudml.org/doc/11604
ER -