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An oscillatory half-linear differential equation

Árpád Elbert, Takaŝi Kusano, Tomoyuki Tanigawa (1997)

Archivum Mathematicum

A second-order half-linear ordinary differential equation of the type ( | y ' | α - 1 y ' ) ' + α q ( t ) | y | α - 1 y = 0 ( 1 ) is considered on an unbounded interval. A simple oscillation condition for (1) is given in such a way that an explicit asymptotic formula for the distribution of zeros of its solutions can also be established.

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