Geodesic
Perturbed functional and neutral functional evolution equations with infinite delay in Fréchet spaces
Electronic journal of differential equations, Tome 2008 (2008)
This article shows sufficient conditions for the existence of mild solutions, on the positive half-line, for two classes of first-order functional and neutral functional perturbed differential evolution equations with infinite delay. Our main tools are: the nonlinear alternative proved by Avramescu for the sum of contractions and completely continuous maps in Frechet spaces, and the semigroup theory.
Classification : 34G20, 34K40
Keywords: perturbed functional equation, neutral evolution equations, mild solution, fixed-point theory, nonlinear alternative, Fréchet spaces, infinite delay 
@article{EJDE_2008__2008__a41,
     author = {Baghli,  Selma and Benchohra,  Mouffak},
     title = {Perturbed functional and neutral functional evolution equations with infinite delay in {Fr\'echet} spaces},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1190.34098},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a41/}
}
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%A Benchohra,  Mouffak
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%F EJDE_2008__2008__a41
Baghli,  Selma; Benchohra,  Mouffak. Perturbed functional and neutral functional evolution equations with infinite delay in Fréchet spaces. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a41/