Existence of mild solutions for nonlocal perturbed evolution equations with infinite state-dependent delay in Fréchet spaces

Existence of mild solutions for nonlocal perturbed evolution equations with infinite state-dependent delay in Fréchet spaces

In this work, we give sufficient conditions to get the existence of mild solutions for two classes of first-order semilinear functional and neutral functional perturbed evolution equations with infinite state-dependent delay when the conditions are nonlocal using Avramescu nonlinear alternative for...

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Bibliographic Details
Main Authors: Selma Baghli-Bendimerad, Imane Abibssi
Format: Article
Language:English
Published: Polish Academy of Sciences 2025-07-01
Series:Archives of Control Sciences
Subjects:
perturbed evolution equations
neutral problems
mild solutions
state-dependent delay
fixed point
nonlinear alternative
semigroup theory
fréchet spaces
infinite delay
nonlocal conditions
Online Access:https://journals.pan.pl/Content/135720/PDF/art07_int.pdf
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https://journals.pan.pl/Content/135720/PDF/art07_int.pdf

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