Conditions for Oscillation of a Neutral Differential Equation

Abstract

For a neutral differential equation with positive and changeable sign coefficients ${\left[x\left(t\right)-a\left(t\right)x\left(\delta \left(t\right)\right)\right]}^{\prime }+p\left(t\right)F\left(x\left(\tau \left(t\right)\right)\right)-q\left(t\right)G\left(x\left(\sigma \left(t\right)\right)\right)=0$, oscillation criteria are established, where q(t) is not required as nonnegative. Several new results are obtained.