摘要：In this paper, we establish the existence of nonoscillatory solutions to third-order nonlinear neutral dynamic equations on time scales of the form ( r 1 ( t ) ( r 2 ( t ) ( x ( t ) + p ( t ) x ( g ( t ) ) ) Δ ) Δ ) Δ + f ( t , x ( h ( t ) ) ) = 0 by employing Kranoselskii’s fixed point theorem. Three examples are included to illustrate the significance of the conclusions.
关键词：third-order neutral dynamic equations ; time scales ; nonoscillatory solutions ; Kranoselskii’s fixed point theorem
