Oscillation of second-order Emden-Fowler neutral delay differential equations

摘要

We establish some new criteria for the oscillation of second-order Emden-Fowler neutral delay differential equations.We study the case of superlinear and the case of sublinear equations subject to various conditions. The results obtained show that the presence of a neutral term in a differential equation can cause or destroy oscillatory properties. Several examples are provided to illustrate the relevance of new theorems.