Systems of Nonlinear and Algebraic Nonlinear Ordinary Differential Equations

GIUSEPPA CARRA' FERRO
DEPARTMENT OF MATHEMATICS
UNIVERSITY OF CATANIA
Viale Andrea Doria 6, 95125 CATANIA
ITALY
carra@dipmat.unict.it

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Abstract:

A procedure is shown in order to study a special class of ordinary nonlinear and nonalgebraic differential equations. In fact ordinary differential equations, that are polynomials in the derivatives and in some elementary functions of the derivatives are considered. A procedure it is shown in order to transform such equations in algebraic differential equations by using some differential elimination procedures.