Yūki Naito

Remarks on Singular Sturm Comparison Theorems

abstract:
In a finite or infinite open interval, the linear differential equations of second order with singularities at endpoints are considered. By making use of principal solutions at endpoints of the interval, we obtain sharper forms of the Strum comparison theorem.

Mathematics Subject Classification: 34B24, 34C10

Key words and phrases: Singular second order linear differential equations, Sturm comparison theorem, principal solutions