Sell's conjecture for non-autonomous dynamical systems

DOI10.1016/j.na.2012.01.002zbMath1247.37016OpenAlexW2074741854WikidataQ122923078 ScholiaQ122923078MaRDI QIDQ765852

David N. Cheban

Publication date: 22 March 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.01.002

zbMATH Keywords

asymptotic stabilityglobal attractornonautonomous dynamical system

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Global stability of solutions to ordinary differential equations (34D23) Attractors of solutions to ordinary differential equations (34D45) Topological dynamics of nonautonomous systems (37B55) Stability theory for difference equations (39A30)

Cites Work

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• Limiting equations in the problem of total stability
• Uniform asymptotic stability via the limiting equations
• Limiting equations and some stability properties for asymptotically almost periodic functional differntial equations with infinite delay
• On the structure of the global attractor for non-autonomous dynamical systems with weak convergence
• Uniformly asymptotic stability and total stability
• Limiting equations in the stability problem

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