Jaroslav Jaroš

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

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