Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 1
New principle reduction for partial functional differential equation with the lack of compactness
Meryem El Attaouy, Khalil Ezzinbi, Gaston Mandata N'Guérékata
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
September 12, 2021
March 03, 2022
April 15, 2022

Abstract: The aim of this communication is to establish a principle reduction for partial functional differential equations with the lack of compactness of the semigroup generated by the linear part. We use the compactness of the linear delay operator to prove that the semigroup generated by the linear part is quasi-compact. This property allows as to construct a reduced system that is posed in a finite dimension space. Through this result we investigate the existence of compact almost automorphic solutions for some partial functional differential equations. We apply our results to transport models ...