**Jaroslav Jaroš**

##
Integral Comparison Criteria for Nonoscillation of Half-Linear Differential
Equations of the Second Order

**abstract:**

A new comparison theorem of the Hille-Wintner type is established for a pair of
half-linear differential equations of the second order. It is formulated in
terms of solutions continuable to infinity of the generalized Riccati equation
associated with a known nonoscillatory second-order half-linear equation.

**Mathematics Subject Classification:**
34C10

**Key words and phrases:** Half-linear differential equations, nonoscillatory
solutions, Hille-Wintner comparison theorem, generalized Riccati equation