On stability of linear time-varying second-order differential equations
From MaRDI portal
Publication:3429101
DOI10.1090/S0033-569X-06-00995-XzbMath1119.34039OpenAlexW1997648579WikidataQ123289508 ScholiaQ123289508MaRDI QIDQ3429101
Luu Hoang Duc, Peter Taraba, Stefan Siegmund, Achim Ilchmann
Publication date: 30 March 2007
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0033-569x-06-00995-x
Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30)
Related Items (20)
Stability of linear second-order time-varying differential equations via contractive polygons ⋮ Rectifiability of solutions for a class of two-dimensional linear differential systems ⋮ Some remarks on the Langmuir-Hinshelwood kinetics ⋮ Stability of planar nonautonomous dynamic systems ⋮ Non-uniform asymptotic stability for the damped linear oscillator ⋮ Global asymptotic stability for oscillators with superlinear damping ⋮ Parametric resonance in a mesoscopic discrete DNA model ⋮ The periodic solution of a second order linear equation ⋮ Growth conditions for uniform asymptotic stability of damped oscillators ⋮ Global asymptotic stability for damped half-linear oscillators ⋮ Uniform asymptotic stability for damped linear oscillators with variable parameters ⋮ Global dynamics of Froude-type oscillators with superlinear damping terms ⋮ Uniformly attracting solutions of nonautonomous differential equations ⋮ A necessary and sufficient condition for the global asymptotic stability of damped half-linear oscillators ⋮ Parametric resonance in DNA ⋮ Sufficient conditions for convergence of solutions of damped elliptic equations ⋮ Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems ⋮ Influence of anti-diagonals on the asymptotic stability for linear differential systems ⋮ Asymptotic Stability for Stochastic Dissipative Systems with a Hölder Noise ⋮ Uniform asymptotic stability of time-varying damped harmonic oscillators
Cites Work
- Unnamed Item
- Unnamed Item
- Global asymptotic stability for nonlinear systems of differential equations and applications to reactor dynamics
- A spectral theory for linear differential systems
- Precise damping conditions for global asymptotic stability for nonlinear second order systems
- Precise damping conditions for global asymptotic stability for nonlinear second order systems. II
- A necessary and sufficient condition for the asymptotic stability of the damped oscillator
- On the stability of slowly time-varying linear systems
- ASYMPTOTIC STABILITY OF x″+a(t)x′+x=0
- On the asymptotic stability of oscillators with unbounded damping
- Asymptotic Stability for Intermittently Controlled Nonlinear Oscillators
- Integral conditions on the asymptotic stability for the damped linear oscillator with small damping
- Singular Perturbations on the Infinite Interval
- Dichotomy spectrum for nonautonomous differential equations
This page was built for publication: On stability of linear time-varying second-order differential equations