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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, in the field of ordinary differential equations, the Sturm Picone comparison theorem, named after Jacques Charles François Sturm and Mauro Picone, is a classical theorem which provides criteria for the oscillation and non-oscillation of solutions of certain linear differential equations. In mathematics, an ordinary differential equation (or ODE) is a relation that contains functions of only one independent variable, and one or more of its derivatives with respect to that variable.