Perturbed generalized half-linear Riemann-Weber equation - further oscillation results

Abstract

We establish new oscillation and nonoscillation criteria for the perturbed generalized Riemann-Weber half-linear equation with critical coefficients (Phi (x'))' + (gamma p/t(p) + Sigma(n)(j=1) mu(p)/t(p)Log(j)(2)t + (c) over tilde (t))Phi(x) = 0 in terms of the expression 1/log(n + 1) t integral(t)(c) over tilde (s) s(p-1) Log(n)s log(n+1)(2) s ds. The obtained criteria complement results of [O. Dosly, Electron. J. Qual. Theory Differ. Equ., Proc. 10'th Coll. Qualitative Theory of Diff. Equ. 2016, No. 10, 1-14].