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OSCILLATORY AND ASYMPTOTIC BEHAVIOUR OF n ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

OSCILLATORY AND ASYMPTOTIC BEHAVIOUR OF n ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

作     者:阮炯 

作者机构:Department of Mathematics Fudan UniversityShanghai China 

出 版 物:《Chinese Annals of Mathematics,Series B》 (数学年刊(B辑英文版))

年 卷 期:1989年第10卷第2期

页      面:143-153页

核心收录:

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:coincide behaviour integer asymptotic oscillatory neutral varia 玩古 司土 志初 

摘      要:In this paper the author discusses the following first order functional differential equations: x (t) +integral from n=a to b p(t, ξ)x[g(t, ξ)]dσ(ξ)=0, (1) x (t) +integral from n=a to b f(t, ξ, x[g(t, ξ)])dσ(ξ)=0. (2) Some suffcient conditions of oscillation and nonoseillafion are obtained, and two asymptolio properties and their criteria are given. These criferia are better than those in [1, 2], and can be used to the following equations: x (t) + sum from i=1 to n p_i(t)x[g_i(t)] =0, (3) x (t) + sum from i=1 to n f_i(t, x[g_i(t)] =0. (4)

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