Existence of asymptotically stable periodic solutions of a forced equation of Lienard type

DOI10.1016/0362-546X(94)90062-0zbMath0802.34050MaRDI QIDQ4302396

Rafael Ortega, Amine Zitan

Publication date: 15 August 1994

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

zbMATH Keywords

asymptotic stabilityperiodic solutiondegree theoryLiénard type equationmethod of upper and lower solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20)

Related Items (15)

Stabilization of optically coupled lasers with periodic pumping ⋮ The rate of decay of stable periodic solutions for Duffing equation with \(L^p\)-conditions ⋮ On the existence of periodic solutions for a class of generalized forced Liénard equations ⋮ Dynamic aspects of tumour–immune system interaction under a periodic immunotherapy ⋮ Existence of periodic and bounded solutions of the generalized Liénard equation under forcing ⋮ Exact multiplicity and stability of periodic solutions for a Duffing equation ⋮ Bifurcation and dynamics of periodic solutions to the Rayleigh-plesset equation: theory and numerical simulation ⋮ Exact multiplicity for periodic solutions of Duffing type. ⋮ Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities ⋮ Exact multiplicity and stability of periodic solutions for Duffing equation with bifurcation method ⋮ On stability of periodic solutions of Lienard type equations ⋮ A NOTE ON PERIODIC SOLUTIONS OF A FORCED LIÉNARD-TYPE EQUATION ⋮ A note on periodic solutions of a nonautonomous generalized Liénard equation ⋮ Stability properties of periodic solutions of a Duffing equation in the presence of lower and upper solutions. ⋮ Blow-up phenomena of second-order nonlinear differential equations

Cites Work

• Periodic boundary value problem for some Duffing equations
• The number of periodic solutions of 2-dimensional periodic systems
• The existence of periodic solutions of systems of differential equations
• On the Existence of Stable Periodic Solutions of Differential Equations of Duffing Type
• A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
• Existence Results on the One-Dimensional Dirichlet Problem Suggested by the Piecewise Linear Case
• Topological Degree and Stability of Periodic Solutions for Certain Differential Equations
• The Operator of Translation Along the Trajectories of Differential Equations
• A Resonance Problem in Which the Nonlinearity May Grow Linearly
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