Asymptotic stability for quasi-linear systems whose linear approximation is not assumed to be uniformly attractive

DOI10.1007/s10231-010-0156-zzbMath1234.34039OpenAlexW2043700992MaRDI QIDQ642102

Jitsuro Sugie, Yuichi Ogami, Masakazu Onitsuka

Publication date: 25 October 2011

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-010-0156-z

zbMATH Keywords

uniform stabilitydiscontinuous coefficientsasymptotic stabilityweakly integrally positivequasi-linear systems

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (2)

Uniform asymptotic stability implies exponential stability for nonautonomous half-linear differential systems ⋮ Sufficient conditions for convergence of solutions of damped elliptic equations

Cites Work

• Asymptotic stability of the equilibrium of the damped oscillator
• Stability by Liapunov's direct method. With applications
• Global attractivity for half-linear differential systems with periodic coefficients
• Nonlinear differential equations and dynamical systems
• Stability theory by Liapunov's direct method
• Asymptotic stability and the derivatives of solutions of functional differential equations
• Differential equations: Stability, oscillations, time lags
• On Liapounoff's conditions of stability
• An Asymptotic Stability and a Uniform Asymptotic Stability for Functional Differential Equations
• On the asymptotic stability for a two-dimensional linear nonautonomous differential system
• A Remark on a Stability Theorem of M. Marachkoff
• On the stability of motion
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