共查询到16条相似文献,搜索用时 46 毫秒
1.
In this paper, we will study generic oscillation and generic nonoscillation of first order impulsive delay differential equations. A necessary and sufficient condition and some sufficient conditions are obtained for both phenomena based on the root of characteristic equation. 相似文献
2.
OSCILLATIONSOFODDORDERNEUTRALDIFFERENTIALEQUATIONS朱思铭,彭世国中同大学,邮编:510275OSCILLATIONSOFODDORDERNEUTRALDIFFERENTIALEQUATIONS¥Zhu... 相似文献
3.
This paper devotes to study the oscillatory behavior of solutions of a first order nonlinear impulsive differential equation with mixed argument. First, without assuming the deviating argument to be retarded or advanced, a sufficient condition is established for all solutions of the differential equation to be oscillatory. Next, a sufficient condition for the differential equation to have nonoscillatoty solution is given. Finally, a sufficient and necessary condition for all solutions of the differential equation to be oscillatory is obtained. 相似文献
4.
1IntroductionInthepaper,weconsiderthesecond-orderdiferentialequationswithimpulsesas(r(t)x′)′+f(t,x)=0,t≥t0,t≠0,k=1,2,…,x(t+k)... 相似文献
5.
STABILITY OF SOLUTIONS OF FIRST ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH OSCILLATORY COEFFICIENTS 总被引:1,自引:0,他引:1
STABILITYOFSOLUTIONSOFFIRSTORDERNONLINEARNEUTRALDIFFERENTIALEQUATIONSWITHOSCILLATORYCOEFFICIENTS¥WangQiru(王其如)(LuoyangTeacher?.. 相似文献
6.
阮炯 《数学年刊B辑(英文版)》1985,(2)
In this paper the author discusses the following first order functional differentialequations: 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 asymptolioproperties and their criteria are given. These criferia are better than those in [1, 2], and canbe 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) 相似文献
7.
OSCILLATION IN FIRST ORDER NEUTRAL DIFFERENTIAL EQUATIONS 总被引:1,自引:0,他引:1
A new oscillation result is established for the first order neutral differential equationx(t) - px(t - (?)) + qx(t - σ) = 0.The results extends and improves some existing results in the literature. 相似文献
8.
OSCILLATIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS 总被引:1,自引:0,他引:1
周德堂 《数学物理学报(B辑英文版)》1992,(1)
In this paper, we obtain some sufficient conditions for the oscillation and nonoscillation of some first order linear neutral functional differential equations. A mistake in the literature is also presented at the end of the paper. 相似文献
9.
高国柱 《数学物理学报(B辑英文版)》1990,(3)
Recently the authors have studied the oscillations of some neutral differential difference equations and obtained very good results (see [1—4]). In this paper we consider the oscillations of the neutral differential difference equationd/dt[x(t)+sum from i=1 px(t-τ)+sum form j=1 to n qx(t-σ)=0, t≥t,] (*)where p, τ, q and σ (i=1, 2, …, m; j=1, 2, …, n) are positive constants. Some sufficient conditions for all solutions of (*) to oscillate are obtained. And in some ease we give neeessaxy and sufficient conditions for (*) to oscillate. 相似文献
10.
OSCILLATION OF CERTAIN PARTIAL RETARDED DIFFERENTIAL EQUATIONS 总被引:8,自引:0,他引:8
OSCILLATIONOFCERTAINPARTIALRETARDEDDIFFERENTIALEQUATIONSChenWendeng(陈文灯)(CentreinstituteofFinance)&YuYuanhong(俞元洪)(Instituteo... 相似文献
11.
A. Tiryaki Department of Mathematics Gazi University Faculty of Arts Sciences Teknik Okullar Ankara Turkey S. 《数学物理学报(B辑英文版)》2001,21(2):182-188
1 IntroductionIn this paper we deal with the oscilIatory behaviour of solutions of nonlinear third orderdifferential equations of tlie formandwhere pt q E C([a,co),R) la E R, f E C(R,R) such that ap 3 g > 0 for V / 0 and 7 > 0 isa quotient of odd integers.By a proper solutiOn of (1) or (2) we mean a solution y of the equation which exi8ts on somehalf line [Tg, oo) 5 [a, oo), where Tv depens on y, and is llontirivial in some neighbourhood ofinfinity that is y(t) / 0 in [t., oo) fOr some t… 相似文献
12.
N. Parhi P. Das 《数学物理学报(B辑英文版)》1998,(1)
1IntroductionInthispaperwedealwithoscillatoryandnonoscillatorybehaviourofsolutionsofnonlinearthirdorderdifferentialequationsoftheformwherea,b,cEC([er,co),R),rrER,fEC(R,R)suchthatac2P>0fory/0and7>0isaquotientofoddintegers.From"Theoryofequations"tsee[1],itfollowsthattheequationwithconstantcoefficientsMoreover,allnonoscillatorysolutionsof(1.3)tendtozeroifandonlyifequatioll(l.3)hasanoscillatorysolution.Theseobservationsarefoundtobetruetoalargeextentformoregeneralequationsoftheformwherealb,cE… 相似文献
13.
本文通过使用化多时滞为单时滞的技巧,研究了一类广泛的非线性泛函微分方程解的振动性,所得结果包含和改进了Hunt,Yorke等多人的结果. 相似文献
14.
高阶混合中立型微分方程解的振动性 总被引:3,自引:0,他引:3
本文研究奇数阶混合类型的中立型微分方程[x(t)+cx(t-h)+c*x(t+h*)](n)=qx(t-g)+px(t+g*),这里c,c*,g,g*,h,h*,p和q是实常数,得到关于解振动的一些新的判别准则.本文结果改进了GraceS.R.的全部定理. 相似文献
15.
本文利用Leray-Schauder连续性定理证明三阶向量微分方程非线性振荡周期解的存在性,在一定程度上推广了一些已有的结果。 相似文献
16.
考虑二阶中立型时滞微分方程[a(t)|(x(t) p(t)x(t-τ))′|^α-1(x(t) p(t)x(t-τ))′]′ f(t,x(t-σ))=0(E)其中α,τ,σ是非负常数,a(t),p(t)∈C([t0,∞),R),f(t,x)∈C(R,R)。建立了方程(E)的一些新的振动条件。 相似文献