Some new oscillation results for fourth-order neutral differential equations with a canonical operator (Q2209240)

Summary: By this work, our aim is to study oscillatory behaviour of solutions to 4th-order differential equation of neutral type \(L_y^\prime+\sum_{j = 1}^k q_j \left( y\right) z^\beta \left( g_j \left( y\right)\right)=0\) where \(L_y=\xi\left( y\right) \left( w''' \left( y\right)\right)^\alpha,w\left( y\right):=z\left( y\right)+r\left( y\right)z\left( \widetilde{g} \left( y\right)\right)\). By using the comparison method with first-order differential inequality, we find new oscillation conditions for this equation.