Improved criteria for oscillation of noncanonical neutral differential equations of even order

Abstract

Abstract In this work, we aim at studying the asymptotic and oscillatory behavior of even-order neutral delay noncanonical differential equations. To the best of our knowledge, most of the related previous works are concerned only with neutral equations in the canonical case. Our new oscillation criteria essentially improve, simplify, and complement related results in the literature, especially those from a paper by Li and Rogovchenko (Abstr. Appl. Anal. 2014:395368, 2014). Some examples are presented that illustrate the importance of the new criteria.

Keywords

• Neutral differential equations
• Even order
• Oscillatory behavior
• Noncanonical case