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

Open Mathematics (2017)

- Volume: 15, Issue: 1, page 548-561
- ISSN: 2391-5455

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topAdil 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 -

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