On the boundedness and the attractivity properties of nonlinear second order differential equations

DOI10.3792/PJAA.57.111zbMath0494.34024OpenAlexW2073115212MaRDI QIDQ1169077

Sadahisa Sakata, Minoru Yamamoto

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.111

zbMATH Keywords

boundednessLyapunov functionsattractivity

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (2)

On the attractivity properties for the equation x + a(t)f//1(x)g//1(x')x' + b(t)f//2(x)g//2(x')x = e(t,x,x') ⋮ Further results on the boundedness and the attractivity properties of nonlinear second order differential equations

Cites Work

• Boundedness and convergence to zero of solutions of a forced second-order nonlinear differential equation
• On the equation \(x +f(x)h(x')x' +g(x) = e(t)\)
• A Liapunov function for a generalized Lienard equation

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