Resumen de Second-Order Noncanonical Delay Differential Equations with Sublinear and Superlinear Terms: New Oscillation Criteria via Canonical Transform and Arithmetic–Geometric Inequality

Ganesh Purushothaman, Kannan Suresh, Ethiraju Thandapani, Ercan Tunç

• In this paper, the authors present new oscillation criteria for the noncanonical secondorder delay differential equation with mixed nonlinearities (a(t)x (t)) + n j=1 q j (t)xαj (σ j (t)) = 0 using an arithmetic–geometric mean inequality.We establish our results first by transforming the studied equation into canonical form and then applying a comparison technique and integral averaging method to get new oscillation criteria. Examples are provided to illustrate the importance and novelty of their main results.