논문KCI 등재
On the stability and instability of a class of nonlinear nonautonomous ordinary differential equations
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Abstract
This note presents sufficient conditions forLyapunov's stability and instability of a class of nonlinearnonautonomous second-order ordinary differential equations. Such aclass includes as particular cases a remarkably large number ofdifferential equations with specific physical applications. Twosuccessive nonlinear transformations are applied to the originaldifferential equation in order to convert it into a moreconvenient form for stability analysis purposes. The obtainedstability / instability conditions depend closely on theparameterization of the original differential equation.
관련 논문AI추천
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