On some dichotomy concepts with different growth rates for evolution operators in Banach spaces

DOI10.1515/AWUTM-2015-0020OpenAlexW2527550005MaRDI QIDQ2679396

Nicolae Marian Seimeanu

Publication date: 20 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/awutm-2015-0020

zbMATH Keywords

evolution operator\((h, k)\)-dichotomystrong \((h, k)\)-dichotomyweak \((h, k)\)-dichotomy

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Asymptotic properties of solutions to ordinary differential equations (34D05) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Cites Work

• Connections between some concepts of polynomial trichotomy for noninvertible evolution operators in Banach spaces
• Roughness of \((h,k)\)-dichotomies
• Generalized nonuniform dichotomies and local stable manifolds
• Stability of nonautonomous differential equations
• On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces
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