Existence of solutions to quasilinear functional differential equations
Electronic journal of differential equations, Tome 2009 (2009)
In this article we use the theory of C0-semigroup of bounded linear operators to establish the existence and uniqueness of a classical solution to a quasilinear functional differential equation considered in a Banach space.
Classification :
47D60, 34A12, 35K90
Keywords: C0-semigroup, quasilinear differential equation, mild solution
Keywords: C0-semigroup, quasilinear differential equation, mild solution
@article{EJDE_2009__2009__a180,
author = {Abbas, Syed and Bahuguna, Dhirendra},
title = {Existence of solutions to quasilinear functional differential equations},
journal = {Electronic journal of differential equations},
year = {2009},
volume = {2009},
zbl = {1197.47054},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a180/}
}
Abbas, Syed; Bahuguna, Dhirendra. Existence of solutions to quasilinear functional differential equations. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a180/