An oscillatory half-linear differential equation

@article{Elbert1997,
abstract = {A second-order half-linear ordinary differential equation of the type \[(|y^\{\prime \}|^\{\alpha -1\}y^\{\prime \})^\{\prime \}+\alpha q(t)|y|^\{\alpha -1\}y=0 \qquad \{\{\rm (1)\}\}\] 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.},
author = {Elbert, Árpád, Kusano, Takaŝi, Tanigawa, Tomoyuki},
journal = {Archivum Mathematicum},
keywords = {half-linear differential equations},
language = {eng},
number = {4},
pages = {355-361},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {An oscillatory half-linear differential equation},
url = {http://eudml.org/doc/248023},
volume = {033},
year = {1997},
}

TY - JOUR
AU - Elbert, Árpád
AU - Kusano, Takaŝi
AU - Tanigawa, Tomoyuki
TI - An oscillatory half-linear differential equation
JO - Archivum Mathematicum
PY - 1997
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 033
IS - 4
SP - 355
EP - 361
AB - A second-order half-linear ordinary differential equation of the type \[(|y^{\prime }|^{\alpha -1}y^{\prime })^{\prime }+\alpha q(t)|y|^{\alpha -1}y=0 \qquad {{\rm (1)}}\] 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.
LA - eng
KW - half-linear differential equations
UR - http://eudml.org/doc/248023
ER -