<p>This article deals with the existence and uniqueness of the local mild solutions for a class of parabolic first-order semi-linear impulsive evolution problems with several limited delays associated with the family of linear closed operators <i>A</i>(<i>t</i>) in a Banach space <i>X</i>. We also study the asymptotic behaviour of these solutions.</p>

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Asymptotic behaviour of some impulsive parabolic problems with several limited delays

  • M. Chaouch,
  • Rahima Atmania

摘要

This article deals with the existence and uniqueness of the local mild solutions for a class of parabolic first-order semi-linear impulsive evolution problems with several limited delays associated with the family of linear closed operators A(t) in a Banach space X. We also study the asymptotic behaviour of these solutions.