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

Došlý, Ondřej; Lomtatidze, Alexander

Hiroshima Math. J. 36, No. 2, 203-219 (2006).

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.

Reviewer: Jozef Dzurina (Kosice)

MSC:

34C10

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

Keywords:

half-linear equation; principal solution; oscillation