Some Oscillatory Criteria for Second-Order Emden–Fowler Neutral Delay Differential Equations

Abstract

In this paper, by using the Riccati transformation and integral inequality technique, we establish several oscillation criteria for second-order Emden–Fowler neutral delay differential equations under the canonical case and non-canonical case, respectively. Compared with some recent results reported in the literature, we extend the range of the neutral coefficient. Therefore, our results generalize to some of the results presented in the literature. Furthermore, several examples are provided to illustrate our conclusions.

Keywords

• delay differential equations
• second order
• neutral equation
• Emden–Fowler type
• oscillation