On the boundedness of solutions of the generalized Liénard equation without the signum condition

DOI10.1016/0362-546X(87)90091-5zbMath0648.34036MaRDI QIDQ3793007

Jitsuro Sugie

Publication date: 1987

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

zbMATH Keywords

Liénard equationboundedness criteria

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (15)

The boundedness and convergence of solutions of second-order differential equations with applications ⋮ Boundedness, periodicity, and convergence of solutions in a retarded Liénard equation ⋮ Boundedness and stability of solutions of the retarded liénard equation with negative damping ⋮ On the asymptotic behavior of solutions of certain second-order differential equations ⋮ On the necessary and sufficient conditions for the boundedness of the solutions of the nonlinear oscillating equation ⋮ Boundedness of solutions of nonlinear systems of differential equations ⋮ Boundedness of solutions for a class of retarded Liénard equation ⋮ Stability to vector Liénard equation with constant deviating argument ⋮ Boundedness of solutions for some nonlinear differential systems ⋮ Unnamed Item ⋮ Oscillations for Liénard type equations ⋮ On the instability of solutions to a Liénard type equation with multiple deviating arguments ⋮ Boundedness and convergence of solutions of a second-order nonlinear differential system ⋮ Boundedness of Solutions to a Certain System of Differential Equations with Multiple Delays ⋮ Boundedness of solutions for a class of nonlinear planar systems.

Cites Work

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• Stability by Liapunov's direct method. With applications
• On the equation \(x +f(x)h(x')x' +g(x) = e(t)\)
• On the generalized Lienard equation with negative damping

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