Abstract
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. The results obtained are illustrated by an example.
Highlights
The behavior of solutions of functional differential/difference equations is a very fertile area for study and investigation, as it has great importance in various applied sciences; see [1,2,3,4,5]
By introducing a Riccati substitution, we obtain a new criterion for oscillation without requiring the existence of the unknown function
Many works have dealt with sufficient conditions for oscillation of solutions of the Delay differential equations (DDEs)
Summary
The behavior of solutions of functional differential/difference equations is a very fertile area for study and investigation, as it has great importance in various applied sciences; see [1,2,3,4,5]. New Improved Results for Oscillation of Fourth-Order Neutral Differential Abstract: In this study, a new oscillation criterion for the fourth-order neutral delay differential equa α 0 tion r (u) ( x (u) + p(u) x (δ(u)))000 By introducing a Riccati substitution, we obtain a new criterion for oscillation without requiring the existence of the unknown function.
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