Differential equations of even-order with p-Laplacian like operators: qualitative properties of the solutions

In this paper, we study the oscillation of solutions for an even-order differential equation with middle term, driven by a p-Laplace differential operator of the form {(r(x)Φp[z(κ−1)(x)])′+a(x)Φp[f(z(κ−1)(x))]+∑i=1jqi(x)Φp[h(z(δi(x)))]=0,j≥1,r(x)>0,r′(x)+a(x)≥0,x≥x0>0. The oscillation criteria for these equations have been obtained. Furthermore, an example is given to illustrate the criteria.