Periodic Mild Solutions of Infinite Delay not Instantaneous Impulsive Evolution Inclusions

This paper deals with the existence of periodic mild solutions for a class of functional evolution inclusions. We use a multivalued fixed point theorem in Banach spaces combined with the technique of measure of noncompactness. We show that the Poincaré operator is a condensing operator with respect...

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Bibliographic Details
Published in:Vietnam journal of mathematics 2022, Vol.50 (1), p.287-299
Main Authors: Abbas, Saïd, Benchohra, Mouffak, N’Guérékata, Gaston
Format: Article
Language:English
Subjects:
Banach spaces
Evolution
Fixed points (mathematics)
Inclusions
Mathematics
Mathematics and Statistics
Original Article
Theorems
Citations: Items that this one cites
Online Access:Get full text
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Summary:This paper deals with the existence of periodic mild solutions for a class of functional evolution inclusions. We use a multivalued fixed point theorem in Banach spaces combined with the technique of measure of noncompactness. We show that the Poincaré operator is a condensing operator with respect to Kuratowski’s measure of noncompactness in a determined phase space, and then derive periodic solutions from bounded solutions by using Sadovskii’s fixed point theorem.
ISSN:2305-221X
2305-2228
DOI:10.1007/s10013-021-00487-7