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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 the real domain.
Let pi, qi for i = 1, 2 be real-valued continuous functions on the interval and let
be two homogeneous linear second order differential equations in self-adjoint form with
and
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