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New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations

New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations

In this study, a new oscillation criterion for the fourth-order neutral delay differential equation ruxu+puxδu‴α′+quxβϕu=0,u≥u0 is established. By introducing a Riccati substitution, we obtain a new criterion for oscillation without requiring the existence of the unknown function. Furthermore, the new criterion improves and complements the previous results in the literature. …