On extremal solutions of differential equations with advanced argument

Antoni Augustynowicz, and Jan Jankowski. "On extremal solutions of differential equations with advanced argument." Commentationes Mathematicae 46.1 (2006): null. <http://eudml.org/doc/291646>.

@article{AntoniAugustynowicz2006,
abstract = {We obtain existence of absolutely continuous extremal solutions of the problem $u^\{\prime \}(x) = F(x, u(x), u(h(x)))$, $u(0) = u_0$, and the Darboux problem for $u_\{xy\}(x, y) = G(x, y, u(x, y), u(H(x, y)))$, where $h$ and $H$ are arbitrary continuous deviated arguments.},
author = {Antoni Augustynowicz, Jan Jankowski},
journal = {Commentationes Mathematicae},
keywords = {functional differential equations; advanced argument; extremal solutions; Darboux problem; Carathéodory condition},
language = {eng},
number = {1},
pages = {null},
title = {On extremal solutions of differential equations with advanced argument},
url = {http://eudml.org/doc/291646},
volume = {46},
year = {2006},
}

TY - JOUR
AU - Antoni Augustynowicz
AU - Jan Jankowski
TI - On extremal solutions of differential equations with advanced argument
JO - Commentationes Mathematicae
PY - 2006
VL - 46
IS - 1
SP - null
AB - We obtain existence of absolutely continuous extremal solutions of the problem $u^{\prime }(x) = F(x, u(x), u(h(x)))$, $u(0) = u_0$, and the Darboux problem for $u_{xy}(x, y) = G(x, y, u(x, y), u(H(x, y)))$, where $h$ and $H$ are arbitrary continuous deviated arguments.
LA - eng
KW - functional differential equations; advanced argument; extremal solutions; Darboux problem; Carathéodory condition
UR - http://eudml.org/doc/291646
ER -