摘要：This paper concerns second-order nonlinear neutral dynamic equations with distributed deviating arguments on time scales of the form ( r ( t ) ( ( y ( t ) + p ( t ) y ( τ ( t ) ) ) Δ ) γ ) Δ + ∫ a b f ( t , y ( δ ( t , ξ ) ) ) Δ ξ = 0 , $$\bigl(r(t) \bigl(\bigl(y(t)+p(t)y\bigl(\tau(t)\bigr)\bigr)^{\Delta}\bigr)^{\gamma}\bigr)^{\Delta}+\int_{a}^{b}f \bigl(t,y\bigl(\delta (t,\xi)\bigr)\bigr)\Delta\xi=0, $$ where γ > 0 $\gamma>0$ is a quotient of odd positive integers. By using the generalized Riccati technique and integral averaging techniques, we derive new oscillation criteria for the above equations, which generalize and improve some existing results in the literature.
关键词：neutral dynamic equations on time scales ; distributed deviating arguments ; oscillation ; generalized Riccati technique
