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ON THE STABILITY AND INSTABILITY OF A CLASS OF NONLINEAR NONAUTONOMOUS ORDINARY DIFFERENTIAI, EQUATIONS
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 Title & Authors
ON THE STABILITY AND INSTABILITY OF A CLASS OF NONLINEAR NONAUTONOMOUS ORDINARY DIFFERENTIAI, EQUATIONS
Sen, M.DeLa;
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 Abstract
This note Presents sufficient conditions for Lyapunov`s stability and instability of a class of nonlinear nonautonomous second-order ordinary differential equations. Such a class includes as particular cases a remarkably large number of differential equations with specific physical applications. Two successive nonlinear transformations are applied to the original differential equation in order to convert it into a more convenient form for stability analysis purposes. The obtained stability / instability conditions depend closely on the parameterization of the original differential equation.
 Keywords
ordinary differential equations;Lyapunov′s stability;ultimate boundedness;nonlinear transformations;
 Language
English
 Cited by
1.
Lie symmetries, Lagrangians and Hamiltonian framework of a class of nonlinear nonautonomous equations, Chaos, Solitons & Fractals, 2015, 75, 204  crossref(new windwow)
 References
1.
Nonlinear ordinary differential equations and their applications,

2.
Nonlinear systems analysis,