Oscillation Criteria for Higher Order Neutral Differential Equations with Several Delays

Abstract

This paper is devoted to study the oscillatory behavior of solutions of higher order neutral differential equations with several delays involving oscillation of higher order equations to that of a pair of associated first order delay differential equations. Some examples are also given which show that the oscillation of neutral differential equations can be caused by several delays. This paper is devoted to study the oscillatory behavior of solutions of higher order neutral differential equations with several delays involving oscillation of higher order equations to that of a pair of associated first order delay differential equations. Some examples are also given which show that the oscillation of neutral differential equations can be caused by several delays.

Keywords

• Oscillation
• Neutral
• Higher order
• Delay

References

1. [1] R. P. Agarwal, M. Bohner, T. Li, C. Zhang, A new approach in the study of oscillatory behavior of even-order neutral delay differential equations, Appl. Math. Comput., 225 (2013), 787–794.
2. [2] R. P. Agarwal, S. R. Grace, D. O’Regan, Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic Publishers, Dordrecht, 2000