The Generalized Lienard Equation

DOI10.1137/0303018zbMath0135.30201OpenAlexW1982991665MaRDI QIDQ5508443

Theodore Allen Burton

Publication date: 1965

Published in: Journal of the Society for Industrial and Applied Mathematics Series A Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0303018

zbMATH Keywords

ordinary differential equations

Related Items (19)

Boundedness, periodicity, and convergence of solutions in a retarded Liénard equation ⋮ Boundedness and stability of solutions of the retarded liénard equation with negative damping ⋮ Boundedness criteria for solutions of certain second order nonlinear differential equations ⋮ On the asymptotic behavior of solutions of certain second-order differential equations ⋮ Stability of Hahnfeldt angiogenesis models with time lags ⋮ 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 ⋮ Boundedness of solutions for some nonlinear differential systems ⋮ Oscillations for Liénard type equations ⋮ Second order boundedness criteria ⋮ Liapunov functions and boundedness ⋮ On the generalized Lienard equation with forcing function ⋮ An extension of Liapunov's direct method ⋮ 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 attractivity properties for the equation x + a(t)f//1(x)g//1(x')x' + b(t)f//2(x)g//2(x')x = e(t,x,x') ⋮ Boundedness of solutions for a class of nonlinear planar systems.

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