Oscillation criteria for the solutions of quasilinear second order ODE are revisited. In our early works [6,7], we obtained basic oscillation criteria for
by estimating of the diameters of the nodal sets of the solutions. The focus of this work is to estimate the decay of the oscillatory solutions. Let u be a strongly oscillatory solution, the increasing sequence of zeros of u', and the nodal set of u that contains . We estimate and the diameter of as .
Submitted September 14, 2016. Published January 24, 2017.
Math Subject Classifications: 34C10, 34K15
Key Words: Oscillation criteria for ODE and Estimates of decaying solutions
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