Modified Riccati technique for half-linear differential equations with delay

@inproceedings{Fisnarov2014ModifiedRT,
  title={Modified Riccati technique for half-linear differential equations with delay},
  author={Simona Fisnarov{\'a} and Robert Mar{\'i}k},
  year={2014}
}
We study the half-linear differential equation (r(t)Φ(x′(t)))′ + c(t)Φ(x(τ(t))) = 0, Φ(x) := |x|p−2x, p > 1. We formulate new oscillation criteria for this equation by comparing it with a certain ordinary linear or half-linear differential equation. Our proofs are based on a suitable estimate for the solution of the equation studied and on the modified… CONTINUE READING