Belitskii-Lyubich conjecture for \(C\)-analytic dynamical systems

DOI10.3934/DCDSB.2015.20.945zbMath1337.37059OpenAlexW2314683852MaRDI QIDQ256811

David N. Cheban

Publication date: 10 March 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.945

zbMATH Keywords

attractorglobal asymptotic stabilityBelitskii-Lyubich conjectureholomorphic dynamical systems

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Nonlinear differential equations in abstract spaces (34G20) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05) Difference equations in the complex domain (39A45)

Cites Work

• Matrix norms and their applications. Transl. from the Russian by A. Iacob
• Fixed points of holomorphic mappings for domains in Banach spaces
• Fixed point theorems and dissipative processes
• Punti uniti in trasformazioni a codominio non compatto
• On the determination of minimal global attractors for the Navier-Stokes and other partial differential equations
• Asymptotic stability in the Schauder fixed point theorem
• Counterexample to a conjecture on smooth mappings
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