Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients
Adil Misir ; Banu Mermerkaya
Open Mathematics, Tome 15 (2017), p. 548-561 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2017-01-01
EUDML-ID : urn:eudml:doc:288136
@article{bwmeta1.element.doi-10_1515_math-2017-0046,
     author = {Adil Misir and Banu Mermerkaya},
     title = {Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients},
     journal = {Open Mathematics},
     volume = {15},
     year = {2017},
     pages = {548-561},
     zbl = {06715926},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0046}
}
Adil Misir; Banu Mermerkaya. Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients. Open Mathematics, Tome 15 (2017) pp. 548-561. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0046/