Hille-Wintner type comparison theorems for second-order ordinary differential equations
Hille-Wintner type comparison theorems for second-order ordinary differential equations
Apart from the Sturm theorem, some of the most useful comparison theorems in second-order ordinary linear differential equations are the Taam-Hille-Wintner theorems. In this note we obtain an extension of these theorems to more general nonlinear equations and incidentially settle an open question for the linear case.