New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations
Osama Moaaz, Rami Ahmad El‐Nabulsi, Ali Muhib, S.K. Elagan, Mohammed Zakarya
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.
Topics & Concepts
Oscillation (cell signaling)Order (exchange)MathematicsDifferential equationRiccati equationDifferential (mechanical device)Function (biology)Substitution (logic)Applied mathematicsMathematical analysisControl theory (sociology)PhysicsComputer scienceControl (management)ThermodynamicsEconomicsGeneticsFinanceBiologyEvolutionary biologyProgramming languageArtificial intelligenceDifferential Equations and Numerical MethodsNumerical methods for differential equationsNonlinear Differential Equations Analysis