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

Entropy (Basel). 2021 Jan 20;23(2):129. doi: 10.3390/e23020129.

Abstract

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.

Keywords: fourth-order differential equation; neutral differential equations; oscillation; p-Laplacian equations.