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

Hernández E., Fernándes D., Efendiev M., Wu J.

Journal of Mathematical Analysis and Applications, cilt.519, sa.1, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 519 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.jmaa.2022.126743
  • Dergi Adı: Journal of Mathematical Analysis and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Anahtar Kelimeler: State dependent delay, Strict solutions, Analytic semigroup, Global attractor, Fractal dimension, WELL-POSEDNESS, MULTIVALUED SEMIFLOWS, DISCRETE, UNIQUENESS, EXISTENCE, SYSTEMS
  • Marmara Üniversitesi Adresli: Hayır

Özet

© 2022 Elsevier Inc.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.