Oscillatory behavior of even-order half-linear neutral differential equations (Q2091853)

The paper is concerned with providing conditions under which an even order half-linear neutral differential equation is oscillatory. The authors begin with definitions to ensure their problem is clearly defined and then proceed to use an approach introduced by Philos using a function class \(P\). Using this approach, they are able to provide a sequence of theorems that guarantee oscillatory behaviour of solutions under different conditions on the equation. The paper concludes with an example that illustrates the inter-relationship between the conditions provided.