Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equa\-tions
Electronic journal of differential equations, Tome 2004 (2004)
In the present work we consider a nonlinear nonlocal functional differential equations in a real reflexive Banach space. We apply the method of lines to establish the existence and uniqueness of a strong solution. We consider also some applications of the abstract results.
Classification :
34K30, 34G20, 47H06
Keywords: nonlocal problem, accretive operator, strong solution
Keywords: nonlocal problem, accretive operator, strong solution
@article{EJDE_2004__2004__a45,
author = {Agarwal, Shruti and Bahuguna, Dhirendra},
title = {Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equa\-tions},
journal = {Electronic journal of differential equations},
year = {2004},
volume = {2004},
zbl = {1059.34056},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a45/}
}
TY - JOUR AU - Agarwal, Shruti AU - Bahuguna, Dhirendra TI - Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equa\-tions JO - Electronic journal of differential equations PY - 2004 VL - 2004 UR - http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a45/ LA - en ID - EJDE_2004__2004__a45 ER -
%0 Journal Article %A Agarwal, Shruti %A Bahuguna, Dhirendra %T Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equa\-tions %J Electronic journal of differential equations %D 2004 %V 2004 %U http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a45/ %G en %F EJDE_2004__2004__a45
Agarwal, Shruti; Bahuguna, Dhirendra. Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equa\-tions. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a45/