Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions

The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are oscillatory. Our results complement some known results for neutral differential equations. An illustrative example is included.

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This paper explores the oscillation properties of fourth-order neutral differential equations by employing Riccati substitution and comparison techniques. New oscillation conditions are derived to ensure that all solutions of the equation are oscillatory. The results presented supplement existing knowledge on neutral differential equations and are illustrated with an example.