Comparison criteria for odd order forced nonlinear functional neutral dynamic equations

Yuangong Sun and Taher S. Hassan

Applied Mathematics and Computation, 2015, vol. 251, issue C, 387-395

Abstract: The purpose of this paper is to establish comparison criteria for forced odd order neutral dynamic equationx(t)+p(t)x(τ(t))n+qtϕγxφt=g(t),on an above-unbounded time scale T, where n⩾3;ϕγ(u)≔uγ-1u,γ>0;p,q∈Crdt0,∞T,R+ on t0,∞T;g∈Crd([t0,∞)T,R); and τ,φ:T→T are rd-continuous functions such that limt→∞τ(t)=limt→∞φ(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.

Keywords: Comparison criterion; Odd order; Neutral dynamic equations; Time scales (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:387-395

DOI: 10.1016/j.amc.2014.11.095

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