Stability-instability criteria for nonautonomous systems

DOI10.4171/RLM/551zbMath1188.34067MaRDI QIDQ1039876

Salvatore Rionero

Publication date: 23 November 2009

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=20&iss=4&rank=4

zbMATH Keywords

stabilityLyapunov direct methodnonautonomous linear systems

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonautonomous smooth dynamical systems (37C60)

Related Items (4)

Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing ⋮ On the asymptotic stability of an Hassell predator-prey model with mutual interference ⋮ Stability of a continuous reaction-diffusion Cournot-Kopel duopoly game model ⋮ On the long-time dynamics of nonautonomous predator-prey models with mutual interference

Cites Work

• Stability by Liapunov's direct method. With applications
• \(L^2\)-stability of the solutions to a nonlinear binary reaction-diffusion system of P.D.E.s
• A rigorous reduction of the \(L^2\)-stability of the solutions to a nonlinear binary reaction--diffusion system of PDE's to the stability of the solutions to a linear binary system of ODE's
• A nonlinear \(L^2\)-stability analysis for two-species population dynamics with dispersal
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