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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 Picone identity, named after Mauro Picone, is a classical result about homogeneous linear second order differential equations. It is useful in studying the oscillation of such equations and has been generalized to other type of differential equations and difference equations. The Picone identity is used to prove the Sturm Picone comparison theorem.