Comparison criteria for odd order forced nonlinear functional neutral dynamic equations
The purpose of this paper is to establish comparison criteria for forced odd order neutral dynamic equation x ( t ) + p ( t ) x ( ? ( t ) ) n + q t ? γ x ? t = g ( t ) , on an above-unbounded time scale T , where n ? 3 ; ? γ ( u ) ? u γ - 1 u , γ 0 ; p , q ? C rd t 0 , ∞ T , R + on t 0 , ∞ T ; g ? C rd ( t 0 , ∞ ) T , R ) ; and ? , ? : T ? T are rd-continuous functions such that lim t ? ∞ ? ( t ) = lim t ? ∞ ? ( t ) = ∞ . Comparison criteria have been established without assuming certain restrictive conditions on the time scale T which improve some results in a number of recent papers.