Boundedness and Asymptotic Behaviour of Solutions of a Second-Order Nonlinear System

DOI10.1112/BLMS/24.3.281zbMath0763.34021OpenAlexW2064450849MaRDI QIDQ4024853

Chuanxi Qian

Publication date: 16 February 1993

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

Full work available at URL: https://doi.org/10.1112/blms/24.3.281

zbMATH Keywords

boundednessasymptotic stabilityLyapunov functionsgeneralized Liénard equationnonlinear second-order system

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (8)

The global stability of a class of second order differential equations ⋮ Stability and boundedness properties of certain second-order differential equations ⋮ On global asymptotic stability of second order nonlinear differential systems ⋮ On the stability and boundedness of solutions of a class of nonautonomous differential equations of second order with multiple deviating arguments ⋮ Homoclinic solutions for a forced generalized Liénard system ⋮ Boundedness and convergence of solutions of a second-order nonlinear differential system ⋮ Periodic solutions of forced Liénard-type equations ⋮ Existence of periodic solutions to multidelay functional differential equations of second order

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