On the necessary and sufficient conditions for the boundedness of the solutions of the nonlinear oscillating equation

DOI10.1016/0362-546X(94)90140-6zbMath0814.34022MaRDI QIDQ4322188

Li-Hong Huang

Publication date: 12 June 1995

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

zbMATH Keywords

boundednessnonlinear second order equation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (4)

Boundedness of solutions for a class of retarded Liénard equation ⋮ Boundedness of solutions for some nonlinear differential systems ⋮ A criterion of the nonexistence of periodic solutions to a generalized Liénard system and its application ⋮ Boundedness of solutions for a class of nonlinear planar systems.

Cites Work

• Unnamed Item
• On a boundedness condition for solutions of a generalized Liénard equation
• On the qualitative behaviour of solutions of Liénard equation
• On the generalized Liénard equation without the signum condition
• On the boundedness of the solutions of the nonlinear oscillating equation
• On the equation \(x +f(x)h(x')x' +g(x) = e(t)\)
• A Liapunov function for a generalized Lienard equation
• On the generalized Lienard equation with negative damping
• On the boundedness of solutions of the generalized Liénard equation without the signum condition
• On the Retarded Lienard Equation
• Boundedness and stability of solutions of the retarded liénard equation with negative damping
• The Generalized Lienard Equation

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