摘要:Assuming ∫ t 0 ∞ Δ t r 1 / γ ( t ) < ∞ , a new oscillation criterion for a half-linear second-order neutral dynamic equation ( r ( t ) ( ( x ( t ) + p ( t ) x ( t − τ ) ) Δ ) γ ) Δ + q ( t ) x ( t − δ ) γ − 1 x ( t − δ ) = 0 is presented. An interesting example is provided to show that the delayed function δ ( t ) = t − δ plays an important role in the oscillatory behavior. MSC:34K11, 34N05, 39A10.
关键词:oscillation ; neutral dynamic equation ; time scale