On the generalized Liénard equation without the signum condition

DOI10.1016/0022-247X(87)90215-0zbMath0643.34043MaRDI QIDQ1101866

Jitsuro Sugie

Publication date: 1987

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

zbMATH Keywords

Caratheodory conditionsg-bounded solution

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (9)

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 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 theorems by two Lyapunov functions ⋮ Boundedness of solutions for some nonlinear differential systems ⋮ On the boundedness of the solutions of the nonlinear oscillating equation ⋮ 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

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• Stability by Liapunov's direct method. With applications
• Continuation results for differential equations without uniqueness by two Liapunov functions
• Liapunov functions and boundedness
• On the equation \(x +f(x)h(x')x' +g(x) = e(t)\)
• A Liapunov function for a generalized Lienard equation

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