具连续变量高阶中立型差分方程的渐近性  

Asymptotic behavior of higher order neutral difference equation with continuous arguments

作　　者：孙静[1] 刘志民[1] 

机构地区：[1]河北工程大学理学院,河北邯郸056038

出　　处：《河北工程大学学报（自然科学版）》2011年第3期111-112,共2页Journal of Hebei University of Engineering:Natural Science Edition

摘　　要：研究了一类具有连续变量的高阶中立型时滞差分方程Δd(x(t)+q(t)x(t-τ))+p(t)f(x(t-δ(t)))=0的渐近性。在{x(t)}是方程的有界非振动解的假设下,通过变换引理中的三个条件,得到limt→+∞x(t)=0或t→∞时,{x(t)}收敛于某有限数值,从而认为该方程具有渐近性。The asymptotic behavior of higher order neutral difference equations with continuous arguments Δ^d（x（t）＋q（t）x（t-τ））＋p（t）f（x（t-δ（t）））=0 was studied.It showed that the formula was asymptotic in that the {x（t）} converge to a certain finite value when lim t→＋∞x（t）=0 or t→∞ by transforming the three conditions in Lemma to get the asymptotic equation under the assumption of non-oscillatory solution.

关 键 词：中立型差分方程 渐近性 连续变量 

分 类 号：O175.7[理学—数学]