p-Laplacian functional differential equations with neutral delay arguments: new oscillation theorems

Inthisstudy,weareinterestedininvestigatingtheoscillatorybehaviorofsolutionstoageneralclassoffunctionaldifferential equations. We consider a neutral-type equation with multiple delays. We first test some monotonic properties of positive solutions to the studied equation. Then, we use some techniques to obtain criteria that guarantee the oscillation of all solutions. We obtain three different forms of oscillation criteria and compare them in terms of efficiency by applying them to a special case of the studied equation. The results obtained are an extension and generalization of previous results in the literature.