Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients

Adil Misir, and Banu Mermerkaya. "Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients." Open Mathematics 15.1 (2017): 548-561. <http://eudml.org/doc/288136>.

@article{AdilMisir2017,
abstract = {In this paper, we compute explicitly the oscillation constant for certain half-linear second-order differential equations having different periodic coefficients. Our result covers known result concerning half-linear Euler type differential equations with α-periodic positive coefficients. Additionally, our result is new and original in case that the least common multiple of these periods is not defined. We give an example and corollaries which illustrate cases that are solved with our result.},
author = {Adil Misir, Banu Mermerkaya},
journal = {Open Mathematics},
keywords = {Half-linear differential equation; Euler equation; Riemann-Weber equation; Prüfer transformation; Critical oscillation constant; half-linear differential equation; critical oscillation constant},
language = {eng},
number = {1},
pages = {548-561},
title = {Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients},
url = {http://eudml.org/doc/288136},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Adil Misir
AU - Banu Mermerkaya
TI - Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 548
EP - 561
AB - In this paper, we compute explicitly the oscillation constant for certain half-linear second-order differential equations having different periodic coefficients. Our result covers known result concerning half-linear Euler type differential equations with α-periodic positive coefficients. Additionally, our result is new and original in case that the least common multiple of these periods is not defined. We give an example and corollaries which illustrate cases that are solved with our result.
LA - eng
KW - Half-linear differential equation; Euler equation; Riemann-Weber equation; Prüfer transformation; Critical oscillation constant; half-linear differential equation; critical oscillation constant
UR - http://eudml.org/doc/288136
ER -