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
@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/}
}
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VL  - 2004
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%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
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%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/