Turkish Journal of Mathematics
Abstract
The aim of this article is to establish some new oscillation criteria for the differential equation of even-order of the form \begin{equation*} (r\left( l\right) (y^{\left( n-1\right) }\left( l\right) )^{\alpha })^{\prime }+f(l,x(\tau (l)))=0, \end{equation*} where $y\left( l\right) =x\left( l\right) +p\left( l\right) x^{\beta }\left( \sigma _{1}\left( l\right) \right) +h\left( l\right) x^{\delta }\left( \sigma _{2}\left( l\right) \right) $. By using Riccati transformations, we present new conditions for oscillation of the studied equation. Furthermore, two illustrative examples showing applicability of the new results are included.
DOI
10.3906/mat-2012-11
Keywords
Sublinear and superlinear neutral terms, even-order differential equations, oscillation criteria
First Page
919
Last Page
928
Recommended Citation
MUHIB, A, ELABBASY, E. M, & MOAAZ, O (2021). New oscillation criteria for differential equations with sublinear and superlinear neutral terms. Turkish Journal of Mathematics 45 (2): 919-928. https://doi.org/10.3906/mat-2012-11
