دراسة تذبذب المعادلة التفاضلية نصف الخطية المعممة من المرتبة الثانية ذات الحد المتأخر والمحايد من خلال المعادلة التفاضلية نصف الخطية المعممة من المرتبة الثانية

Abstract

The aim of this paper is to study the oscillation of the generalized half-linear second order differential equation with delay and neutral, this is achieved by establishing a connection between the oscillation of delay differential equation and the generalized half-linear second order differential equation. Consequently many oscillation criteria can be extended from generalized equations to equations with delay terms as well as those with neutral terms, the riccati transformation plays a fundamental role in deriving new results.