摘要:In this paper, we present several new oscillation criteria for a second order nonlinear differential equation with mixed neutral terms of the form$$ \bigl(r(t) \bigl(z'(t)\bigr)^{\alpha }\bigr)'+q(t)x^{\beta } \bigl(\sigma (t)\bigr)=0,\quad t\geq t_(, $$ where $z(t)=x(t)+p_)(t)x(\tau (t))+p_,(t)x(\lambda (t))$ and α, β are ratios of two positive odd integers. Our results improve and complement some well-known results which were published recently in the literature. Two examples are given to illustrate the efficiency of our results.
关键词:Oscillation ; Second order ; Mixed neutral terms ; Advanced differential equation ;