Some New Oscillation Criteria of Even-Order Quasi-Linear Delay Differential Equations with Neutral Term

Abstract

The neutral delay differential equations have many applications in the natural sciences, technology, and population dynamics. In this paper, we establish several new oscillation criteria for a kind of even-order quasi-linear neutral delay differential equations. Comparing our results with those in the literature, our criteria solve more general delay differential equations with neutral type, and our results expand the range of neutral term coefficient. Some examples are given to illustrate our conclusions.

Keywords

• delay differential equation
• quasi-linear
• neutral
• oscillation