Asymptotic stability and asymptotic solutions of second-order differential equations

DOI10.1016/j.jmaa.2006.03.076zbMath1119.34040OpenAlexW2018094167MaRDI QIDQ860548

G. R. Hovhannisyan

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.076

zbMATH Keywords

error estimatesasymptotic solutionintegral representationWKB solution

Mathematics Subject Classification ID

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

Related Items (5)

Stability of planar nonautonomous dynamic systems ⋮ Asymptotic solutions of \(n\)th order dynamic equation and oscillations ⋮ Asymptotic stability for dynamic equations on time scales ⋮ On nonautonomous Dirac equation ⋮ Linear perturbations of a nonoscillatory second-order dynamic equation

Cites Work

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• ASYMPTOTIC STABILITY OF x″+a(t)x′+x=0
• On the asymptotic stability of oscillators with unbounded damping
• Integral conditions on the asymptotic stability for the damped linear oscillator with small damping

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