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

In: Tatra Mountains Mathematical Publications, vol. 80, no. 3
George E. Chatzarakis - Radhakrishnan Srinivasan - Ethiraju Thandapani

## Details:

Year, pages: 2021, 1 - 14
Language: eng
Keywords:
quasi-linear, neutral differential equation, Emden-Fowler differential equation, oscillation
Article type: Mathematics
Document type: scientific paper
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)yλ(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.