Boundedness, periodicity, and convergence of solutions in a retarded Liénard equation

DOI10.1007/BF01765856zbMath0803.34064MaRDI QIDQ1327153

Bo Zhang, Theodore Allen Burton

Publication date: 10 January 1995

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

delayperiodic solutionuniformly ultimately boundedretarded Liénard equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Growth and boundedness of solutions to ordinary differential equations (34C11) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (12)

Exponential stability of a second order delay differential equation without damping term ⋮ On the asymptotic behavior of solutions of certain second-order differential equations ⋮ Lazer-Leach type conditions on periodic solutions of Liénard equation with a deviating argument at resonance ⋮ Stability tests for second order linear and nonlinear delayed models ⋮ Boundedness of solutions for a class of retarded Liénard equation ⋮ Stability to vector Liénard equation with constant deviating argument ⋮ Periodic solutions of Duffing equation with an asymmetric nonlinearity and a deviating argument ⋮ Periodic solutions of Liénard equation with a singularity and a deviating argument ⋮ Boundedness of Solutions to a Certain System of Differential Equations with Multiple Delays ⋮ Periodic solutions of the retarded Liénard equation ⋮ Unnamed Item ⋮ Some new stability and boundedness results of solutions of Liénard type equations with a deviating argument

Cites Work

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• The Generalized Lienard Equation
• On Convergence of Solutions of the Forced Liénard Equation

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