Article ID Journal Published Year Pages File Type
759057 Communications in Nonlinear Science and Numerical Simulation 2010 7 Pages PDF
Abstract

Necessary and sufficient conditions which allow the most general third-order ordinary differential equation x‴=f(t,x,x′,x″)x‴=f(t,x,x′,x″) to be transformed to X‴+αX=0X‴+αX=0 under the generalized Sundman transformationX=F(t,x),dT=G(t,x)dt,(FxG≠0),are obtained in the paper. Here α≠0 is constant.

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Physical Sciences and Engineering Engineering Mechanical Engineering
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