Oscillation results for third-order quasi-linear Emden-Fowler differential equations with unbounded neutral coefficients

Year, pages: 2021, 1 - 14

Some new oscillation criteria are obtained for a class of third-order quasi-linear Emden-Fowler differential equations with unbounded neutral coefficients of the form \begin{equation*} (a(t)(z^\prime\prime(t))^α)^\prime + f(t)y^λ(g(t))=0, \end{equation*} where $z(t)=y(t)+p(t)y\bl(σ(t)\br)$ and $α,$ $λ$ are ratios of odd positive integers. The established results generalize, improve and complement to known results.

Chatzarakis, G., Srinivasan, R., Thandapani, . 2021. Oscillation results for third-order quasi-linear Emden-Fowler differential equations with unbounded neutral coefficients. In Tatra Mountains Mathematical Publications, vol. 80, no.3, pp. 1-14. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0028

Chatzarakis, G., Srinivasan, R., Thandapani, . (2021). Oscillation results for third-order quasi-linear Emden-Fowler differential equations with unbounded neutral coefficients. Tatra Mountains Mathematical Publications, 80(3), 1-14. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0028

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava

https://creativecommons.org/licenses/by-nc-nd/4.0/