Boundedness of solutions for a class of retarded Liénard equation

DOI10.1016/S0022-247X(03)00455-4zbMath1044.34023MaRDI QIDQ1414205

Bingwen Liu, Li-Hong Huang

Publication date: 20 November 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

boundednessRetarded Liénard equation

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to functional-differential equations (34K12)

Related Items

Stability analysis and synthesis of stabilizing controls for a class of nonlinear mechanical systems ⋮ On the stability and boundedness of solutions of a class of nonautonomous differential equations of second order with multiple deviating arguments ⋮ Stability to vector Liénard equation with constant deviating argument ⋮ New qualitative results for solutions of functional differential equations of second order ⋮ On the instability of solutions to a Liénard type equation with multiple deviating arguments ⋮ Boundedness of solutions for a class of Liénard equations with a deviating argument ⋮ Boundedness of Solutions to a Certain System of Differential Equations with Multiple Delays ⋮ Existence of periodic solutions to multidelay functional differential equations of second order ⋮ Some new stability and boundedness results of solutions of Liénard type equations with a deviating argument

Cites Work

• Delay differential equations: with applications in population dynamics
• Asymptotic behavior of solutions of some differential equations
• On the qualitative behaviour of solutions of Liénard equation
• Stability and periodic solutions of ordinary and functional differential equations
• Boundedness, periodicity, and convergence of solutions in a retarded Liénard equation
• Boundedness of solutions for a class of nonlinear planar systems.
• Necessary and sufficient conditions for boundedness and oscillation in the retarded Liénard equation
• On the generalized Lienard equation with forcing function
• On the boundedness of solutions of the generalized Liénard equation without the signum condition
• On the Retarded Lienard Equation
• Periodic solutions of the sunflower equation: 𝑥̈+(𝑎/𝑟)𝑥+(𝑏/𝑟)sin𝑥(𝑡-𝑟)=0
• On the necessary and sufficient conditions for the boundedness of the solutions of the nonlinear oscillating equation
• Boundedness of solutions for some nonlinear differential systems
• Boundedness and stability of solutions of the retarded liénard equation with negative damping
• The Generalized Lienard Equation
• Boundedness and convergence of solutions of a second-order nonlinear differential system
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