v 1 1 4 Ju n 20 05 A semi - algorithm to find elementary first order invariants of rational second order ordinary differential equations
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چکیده
A semi-algorithm to find elementary first order invariants of rational second order ordinary differential equations a,b Abstract Here we present a method to find elementary first integrals of rational second order ordinary differential equations (SOODEs) based on a Darboux type procedure [16, 12, 13]. Apart from practical computational considerations, the method will be capable of telling us (up to a certain polynomial degree) if the SOODE has an elementary first integral and, in positive case, finds it via quadratures.
منابع مشابه
A semi-algorithm to find elementary first order invariants of rational second order ordinary differential equations
A semi-algorithm to find elementary first order invariants of rational second order ordinary differential equations a,b Abstract Here we present a method to find elementary first integrals of rational second order ordinary differential equations (SOODEs) based on a Darboux type procedure [16, 12, 13]. Apart from practical computational considerations, the method will be capable of telling us (u...
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تاریخ انتشار 2005