## Oscillation and nonoscillation criteria for half-linear second order differential equations.(English)Zbl 1123.34028

The authors study oscillatory properties of the second order half-linear differential equation
$(r(t)\Phi(y'))'+c(t)\Phi(y)=0,\quad \Phi(s):=| s| ^{p-2}s.$
Their investigation is based on the concept of the principal solution, Riccati technique and Picone’s identity.

### MSC:

 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

### Keywords:

half-linear equation; principal solution; oscillation