CONVERGENCE OF SOLUTIONS OF TIME-VARYING LINEAR SYSTEMS WITH INTEGRABLE FORCING TERM

DOI10.1017/S000497270800083XzbMath1192.34060OpenAlexW2131691947MaRDI QIDQ3603863

Jitsuro Sugie

Publication date: 19 February 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270800083x

zbMATH Keywords

weakly integrally positiveperturbation problemsnonhomogeneous linear systems

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (15)

Exponential stability and boundedness of nonlinear perturbed systems by unbounded perturbation terms ⋮ Three-dimensional time-varying nonlinear systems containing a Hamilton system ⋮ Parameter diagram for global asymptotic stability of damped half-linear oscillators ⋮ Growth conditions for uniform asymptotic stability of damped oscillators ⋮ Global asymptotic stability for damped half-linear oscillators ⋮ Global asymptotic stability for predator-prey models with environmental time-variations ⋮ A necessary and sufficient condition for the global asymptotic stability of damped half-linear oscillators ⋮ Integral conditions on the uniform asymptotic stability for two-dimensional linear systems with time-varying coefficients ⋮ Sufficient conditions for convergence of solutions of damped elliptic equations ⋮ Global attractivity for half-linear differential systems with periodic coefficients ⋮ Uniform global asymptotic stability for oscillators with superlinear damping ⋮ Global asymptotic stability for predator-prey systems whose prey receives time-variation of the environment ⋮ Attractivity for two-dimensional linear systems whose anti-diagonal coefficients are periodic ⋮ Smith-type criterion for the asymptotic stability of a pendulum with time-dependent damping ⋮ Uniform asymptotic stability of time-varying damped harmonic oscillators

Cites Work

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• Stability theory by Liapunov's direct method
• Differential equations: Stability, oscillations, time lags
• On the asymptotic stability for a two-dimensional linear nonautonomous differential system
• Perturbing Uniformly Stable Linear Systems with and without Attraction

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