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Oscillation criteria for neutral half-linear differential equations without commutativity in deviating arguments

Simona Fisnarova
2016 Electronic Journal of Qualitative Theory of Differential Equations  
We study the half-linear neutral differential equation where Φ(t) = |t| p−2 t. We present new oscillation criteria for this equation in case when σ(τ(t)) = τ(σ(t)) and ∞ r 1−q (t)dt < ∞, q = p/(p − 1), p ≥ 2 is a real number. The results of this paper complement our previous results in case when the above integral is divergent and/or the deviations τ, σ commute with respect to their composition.
doi:10.14232/ejqtde.2016.1.51 fatcat:fp2vpug5uvgj7c4xha4qynrewa