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Czaja, R.* ; Efendiyev, M.A.

Pullback exponential attractors for nonautonomous equations. Part II: Applications to reaction-diffusion systems.

J. Math. Anal. Appl. 381, 766-780 (2011)
DOI
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
The existence of a pullback exponential attractor being a family of compact and positively invariant sets with a uniform bound on their fractal dimension which at a uniform exponential rate pullback attract bounded subsets of the phase space under the evolution process is proved for the nonautonomous logistic equation and a system of reaction-diffusion equations with time-dependent external forces including the case of the FitzHugh-Nagumo system.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Korrespondenzautor
Schlagwörter Exponential attractor; Pullback attractor; Fractal dimension; Nonautonomous dynamical systems; Reaction-diffusion equations
ISSN (print) / ISBN 0022-247X
e-ISSN 1096-0813
Zeitschrift Journal of Mathematical Analysis and Applications
Quellenangaben Band: 381, Heft: 2, Seiten: 766-780 Artikelnummer: , Supplement: ,
Verlag Elsevier
Nichtpatentliteratur Publikationen
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Biomathematics and Biometry (IBB)