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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
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