Positive Solutions of Neutral Delay Differential Equation

Neutral delay differential equations contain the derivative of the unknown function both with and without delays. Some new phenomena can appear, hence the theory of neutral delay differential equations is even more complicated than the theory of non-neutral delay equations. The oscillatory behavior of the solutions of neutral systems is of importance in both the theory and applications, such as the motion of radiating electrons, population growth, the spread of epidemics, in networks containing lossless transmission lines (see [2], [5], [6], [7] and the references therein). In our paper we consider the scalar nonautonomous neutral delay differential equation with variable delays and coefficients of the form