On global asymptotic stability of second order nonlinear differential systems

DOI10.1016/0362-546X(94)90051-5zbMath0801.34055OpenAlexW1997236268MaRDI QIDQ4302374

Chuanxi Qian

Publication date: 15 August 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90051-5

zbMATH Keywords

Lyapunov functionsglobal asymptotic stabilitynecessary and sufficient conditionsLiénard equationnonlinear second order system

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (15)

The global stability of a class of second order differential equations ⋮ A counterexample to a conjecture on the global asymptotic stability for liénard equation ⋮ Mean escape time of switched Riccati differential equations ⋮ On the stability and boundedness of solutions of a class of nonautonomous differential equations of second order with multiple deviating arguments ⋮ On necessary conditions for global asymptotic stability of equilibrium for the Liénard equation ⋮ Unnamed Item ⋮ Global asymptotic stability of nonautonomous systems of Liénard type. ⋮ Explicit conditions for asymptotic stability of stochastic Liénard-type equations with Markovian switching ⋮ Boundedness and convergence of solutions of a second-order nonlinear differential system ⋮ Periodic solutions of forced Liénard-type equations ⋮ Intersection with the vertical isocline in the generalized Liénard equations ⋮ A NOTE ON PERIODIC SOLUTIONS OF A FORCED LIÉNARD-TYPE EQUATION ⋮ The continuation of solutions for certain nonlinear differential equations and its applications ⋮ On global asymptotic stability of systems of Liénard type ⋮ Blow-up phenomena of second-order nonlinear differential equations

Cites Work

• Unnamed Item
• On the qualitative behaviour of solutions of Liénard equation
• On the generalized Lienard equation with forcing function
• On the generalized Lienard equation with negative damping
• On the existence of periodic solutions for Liénard's equation
• Boundedness and Asymptotic Behaviour of Solutions of a Second-Order Nonlinear System
• On Non-Linear Differential Equations of the Second Order with Integrable Forcing Term^†

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