首页> 中文期刊> 《数学年刊B辑(英文版)》 >OSCILLATORY AND ASYMPTOTIC BEHAVIOUR OF n ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

OSCILLATORY AND ASYMPTOTIC BEHAVIOUR OF n ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

         

摘要

This paper considers oscillatory and asymptotic behaviour of following n order neutral functional differential equation:dn/dtn[x(t)-cx(t-τ)]+(-1)n-1 integral from n=-τ* to 0 x(t+θ)dη(θ)=0, (1)nwhere τ0, τ*0, 1c0, η(θ) is nondecreasing function with bounded variation on[-τ*, 0].In this paper the author obtains some results for any integer n and c∈[0, 1). When c=0 or n=1, these results coincide with the results in G. Ladas’s paper [4] and the author’s papers [1, 2].

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