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
@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/}
}
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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/