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Mathematics > Functional Analysis

arXiv:1803.05742 (math)
[Submitted on 15 Mar 2018 (v1), last revised 17 Mar 2018 (this version, v2)]

Title:On the piecewise pseudo almost periodic solution of nondensely impulsive integro-differential systems with infinite delay

Authors:Adnène Arbi, Farouk Chérif
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Abstract:In the theory of neutral differential equations with pulse influence (neutral impulsive differential equations), there are many unsolved problems related to certain results in the theory of integral and integro-differential equations. In this article, we present an result for the existence of the piecewise pseudo almost periodic solution of a class of neutral impulsive nonlinear integro-differential systems with infinite delay. The method used involves result on the theory of integrated semigroup as well as the Sadovskii's fixed point theorem.
Subjects: Functional Analysis (math.FA)
Cite as: arXiv:1803.05742 [math.FA]
  (or arXiv:1803.05742v2 [math.FA] for this version)
  https://doi.org/10.48550/arXiv.1803.05742

Submission history

From: Adnène Arbi [view email]
[v1] Thu, 15 Mar 2018 13:35:36 UTC (22 KB)
[v2] Sat, 17 Mar 2018 11:54:46 UTC (22 KB)
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