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24-26 nov. 2023 Kairouan (Tunisie)
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Conférences plénières > Conférence 6
Professeur Khalil Ezzinbi Université Cadi Ayyad, Maroc
Oscillatory dynamics for evolution equations using Favard’s theory in uniformly convex Banach spaces: Past and presentAbstract : In this work, we use an approach due to Favard (Acta Math 51:31–81, 1928) to study the existence of weakly almost periodic and almost automorphic solutions for some evolution equation whose linear part generates a C 0 -group satisfying the Favard condition in uniformly convex Banach spaces. When this C 0 -group is bounded, which is a condition stronger than Favard’s condition, we prove the equivalence between almost automorphy and weak almost automorphy of solutions.
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