Oscillation criteria for neutral half-linear differential equations without commutativity in deviating arguments

摘要

We study the half-linear neutral differential equation egin{equation*} Bigl[r(t)Phi(z'(t))Bigr]'+c(t)Phi(x(sigma(t)))=0, qquad z(t)=x(t)+b(t)x(au(t)), end{equation*} where $Phi(t)=|t|^{p-2}t$. We present new oscillation criteria for this equation in case when $sigma(au(t))eq au(sigma(t))$ and $int^infty {r^{1-q}}(t)mathrm{d}t