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Hernandez, E.D.* ; Fernándes, D.* ; Efendiyev, M.A. ; Wu, J.*

Finite fractal dimensional global attractor for abstract differential equations with state-dependent delay.

J. Math. Anal. Appl. 519:126743 (2023)
DOI
Open Access Green as soon as Postprint is submitted to ZB.
We study the existence of a finite fractal dimensional global attractor for the multivalued semigroup generated by a general class of abstract differential equations with state-dependent delay. In the last section, some examples concerning partial differential equations with state-dependent delay are presented.
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Publication type Article: Journal article
Document type Scientific Article
Corresponding Author
Keywords Analytic Semigroup ; Fractal Dimension ; Global Attractor ; State Dependent Delay ; Strict Solutions; Well-posedness; Multivalued Semiflows; Discrete; Uniqueness; Existence; Systems
ISSN (print) / ISBN 0022-247X
e-ISSN 1096-0813
Quellenangaben Volume: 519, Issue: 1, Pages: , Article Number: 126743 Supplement: ,
Publisher Elsevier
Publishing Place 525 B St, Ste 1900, San Diego, Ca 92101-4495 Usa
Non-patent literature Publications
Reviewing status Peer reviewed
Grants Fundação de Amparo à Pesquisa do Estado de São Paulo
Canada Research Chairs
natural sciences and engineering research council of canada