The global stability of a class of second order differential equations

DOI10.1016/0362-546X(95)00187-ZzbMath0874.34050OpenAlexW2081227537WikidataQ127662942 ScholiaQ127662942MaRDI QIDQ5284486

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Publication date: 22 January 1997

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

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00187-z

zbMATH Keywords

nonlinear systemglobal stabilityglobally attractive

Mathematics Subject Classification ID

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

Related Items (12)

On the existence of periodic solutions for a class of generalized forced Liénard equations ⋮ THE GENERALISED LIÉNARD EQUATIONS ⋮ On the asymptotic behavior of solutions of certain second-order differential equations ⋮ Qualitative analysis of the phase portrait for a class of planar vector fields via the comparison method ⋮ Unnamed Item ⋮ Global asymptotic stability of nonautonomous systems of Liénard type. ⋮ Boundedness and convergence of solutions of a second-order nonlinear differential system ⋮ Intersection with the vertical isocline in the generalized Liénard equations ⋮ A NOTE ON PERIODIC SOLUTIONS OF A FORCED LIÉNARD-TYPE EQUATION ⋮ On the global attraction for the generalized Liénard equation ⋮ The continuation of solutions for certain nonlinear differential equations and its applications ⋮ Classifying involutions on \(PR(2k)\) up to equivariant cobordism

Cites Work

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• Non-existence of periodic solutions of the Liénard system
• A necessary and sufficient condition for oscillation of the generalized Liénard equation
• Oscillating and periodic solutions of equations of the type \(\ddot x+f_ 1(x)\dot x+f_ 2(x)\dot x^ 2+g(x)=0\)
• The boundedness and convergence of solutions of second-order differential equations with applications
• On the qualitative behaviour of solutions of the equation \(\ddot x +f_ 1(x) \dot x+f_ 2(x)\dot x^ 2 +g(x)=0\)
• Boundedness and Asymptotic Behaviour of Solutions of a Second-Order Nonlinear System
• On global asymptotic stability of second order nonlinear differential systems
• Notice on the Vinograd type theorems for Liénard system
• On the Vinograd type theorems for Liénard system
• A problem on the stability of a positive global attractor

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