Sturm–Picone comparison theorem
MATHEMATICAL THEOREM WHICH PROVIDES CRITERIA FOR THE OSCILLATION AND NON-OSCILLATION OF SOLUTIONS OF CERTAIN LINEAR DIFFERENTIAL EQUATIONS IN THE REAL DOMAIN
Sturm comparison theorem; Sturm-Picone comparison theorem
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.