A second-order half-linear ordinary differential equation of the type $$(|y^{\prime}|^{\alpha-1}y^{\prime})^{\prime}+\alpha q(t)|y|^{\alpha-1}y=0 \leqno{{\rm (1)}}$$ 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.
@article{107624,
author = {\'Arp\'ad Elbert and Taka\^si Kusano and Tomoyuki Tanigawa},
title = {An oscillatory half-linear differential equation},
journal = {Archivum Mathematicum},
volume = {033},
year = {1997},
pages = {355-361},
zbl = {0914.34026},
mrnumber = {1601353},
language = {en},
url = {http://dml.mathdoc.fr/item/107624}
}
Elbert, Árpád; Kusano, Takaŝi; Tanigawa, Tomoyuki. An oscillatory half-linear differential equation. Archivum Mathematicum, Tome 033 (1997) pp. 355-361. http://gdmltest.u-ga.fr/item/107624/
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