New Theorems for Oscillations to Differential Equations with Mixed Delays

The oscillation of differential equations plays an important role in many applications physics, biology and engineering. symmetry helps to deciding the right way study oscillatory behavior solutions this equations. purpose article is establish new properties which describe both necessary sufficient conditions for a class nonlinear second-order with neutral term mixed delays form p(ι)w′(ι)α′+r(ι)uβ(ν(ι))=0,ι≥ι0 where w(ι)=u(ι)+q(ι)u(ζ(ι)). Furthermore, examining validity proposed criteria has been demonstrated via particular examples.