Mild solutions for perturbed evolution equations with infinite state-dependent delay

Mild solutions for perturbed evolution equations with infinite state-dependent delay

In this paper, we give sufficient conditions to get the existence of mild solutions for two classes of first order partial and neutral of perturbed evolution equations by using the nonlinear alternative of Avramescu for contractions operators in Fréchet spaces, combined with semigroup theory. The so...

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Bibliographic Details
Main Authors: Djillali Aoued, Selma Baghli-Bendimerad
Format: Article
Language:English
Published: University of Szeged 2013-10-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
perturbed semilinear functional equations
neutral problem
mild solution
state-dependent delay
fixed point
nonlinear alternative
semigroup theory
fréchet spaces
infinite delay.
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2328

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