摘要：It is the purpose of this paper to give oscillation criteria for the third-order neutral dynamic equations with continuously distributed delay, [ r ( t ) ( [ x ( t ) + ∫ a b p ( t , η ) x [ τ ( t , η ) ] Δ η ] Δ Δ ) γ ] Δ + ∫ c d q ( t , ξ ) f ( x [ ϕ ( t , ξ ) ] ) Δ ξ = 0 , on a time scale T , where γ is the quotient of odd positive integers. By using a generalized Riccati transformation and an integral averaging technique, we establish some new sufficient conditions which ensure that every solution of this equation oscillates or converges to zero.
