共查询到20条相似文献,搜索用时 0 毫秒
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The aim of this paper is to study the oscillation of second order neutral difference equations.Our results are based on the new comparison theorems,that reduce the problem of the oscillation of the second order equation to that of the first order equation.The comparison principles obtained essentially simplify the examination of the equations. 相似文献
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Liu Kaien 《Annals of Differential Equations》2006,22(4):524-534
The present paper is devoted to the investigation of the oscillation of second order nonlinear delay differential equation (DDE) with impulses, sufficient conditions of oscillation for the solutions of DDE with impulses are obtained by using differential inequality. Some known results are improved and generalized. 相似文献
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Wang Xiaoping 《Annals of Differential Equations》2007,23(4):505-510
In this paper,we obtain some oscillation criteria to an odd-order delayed difference equation. 相似文献
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COMPERISONTHEOREMSANDSUFFICIENTANDNECESSARYCONDITIONFOROSCILLATIONOFFIRSTORDER NEUTRALNONLINEARDIFFERENTIALEQUATIONSLiWantong... 相似文献
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OSCILLATIONFORNONLINEARNEUTRALDIFFERENTIALEQUATIONS(申建华)(王志成)湖南大学,邮编:410082ShenJianhua;WangZhicheng(HunanUniversity,)Abstract... 相似文献
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高阶偏泛函微分方程系统解的强迫振动性 总被引:6,自引:0,他引:6
本文研究两类高阶偏泛函微分方程系统的强迫振动性,利用微分不等式和积分技巧,获得了这两类系统解的强迫振动的若干充分判据,所得结果推广和包含了文[1]的相应结果. 相似文献
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OSCILLATION FOR A CLASS OF SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH IMPULSES 总被引:1,自引:0,他引:1
Xu Huazhong 《Annals of Differential Equations》2007,23(4):525-529
This paper discusses the oscillation of second-order nonlinear differential equations with impulses.Sufficient conditions for all solutions of the equation to be oscillated are obtained. 相似文献
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Yang Xuxin Shen Jianhua 《Annals of Differential Equations》2006,22(2):209-216
By an associate linear equation, we obtain a linearized oscillation result of certain odd-order nonlinear neutral delay differential equation. The result answers partially an open problem proposed by Gyori and Ladas. 相似文献
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Jinchang Yu 《应用数学年刊》2017,33(2):203-211
By Riccati transformation, we establish some new oscillation criteria for a class of even order delay differential equations with nonlinear term. In some sense, the results obtained extend some known results in the literature. 相似文献
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1 IntroductionThis paper is concerned with the problem of oscillation of second-orderquasilinear differential equationsFOr equation (1), the following conditions, which are referred to (FO), arealways assumed to be valid(a) a > 0 is a constant;(b) F: [to, co) x R x R x R x R - R is a continuous function;(c) sgn F(t, x) u? v3 w) = sgn x for each t 2 to and x, u? v? w E R,(d) r(t) E C([to, co); (0, co)) and jco ddt = co.' (e) T: [to, co) - R is continuous, T(t) 5 t for t 2 to and ill7T(t)… 相似文献
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ANOSCILLATIONCRITERIONFORSECONDORDERSUBLINEARDIFFERENTIALEQUATIONS¥LiWantong(ZhangyeTeachers'College,734000)QuanHongshun(Lanz... 相似文献
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In this paper,we study one type of odd-order neutral delay differential equation. Suffcient conditions for the oscillation of every solution to this type of differential equation are given. 相似文献
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一类抛物型偏泛函微分方程解的强迫振动性 总被引:7,自引:0,他引:7
本文研究抛物型偏泛函微分方程γ/γt[u-mΣt-1Ct(t)u(x,t-τt)]=a(t)Δu-P(x,t)u-Q(x,t)G[u(x,p(t)]+F(x,t),(x,t)包含D×[0,+∞]解的强近振动性,其中D为R^n中具有逐片光滑边办γD的有界区域,u=u(x,t),Δ是R^n中的Laplace算子。 相似文献
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GuanXinping(关新平);YangJun(杨军);&LiuWenyuan(刘文远)(NortheastHeavyMachineryinstitute,东北重型机学院,邮编:161042)Abstract:Thispaperdiscussest... 相似文献
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一类二阶非线性阻尼微分方程的振动性 总被引:34,自引:0,他引:34
研究了一类二阶非线性阻尼微分方程解的振动性,建立了三个新的振动性定理,推广了Cecchi M和Marini M(Rocky Mount J Math,1992,22:1259-1276)的结果. 相似文献
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Oscillation criteria for the delay differential equationx′(t)+p(t)x(t-т(t))=0,where p, т are non-negative real-valued continuous functions are investigated inthe case when the numbers k=integral from n=t-т(t) to t(p(s)ds),L=integral from n=t-т(t) to t(p(s)ds)satisfy 0≤k<1/e and 1/e≤L<1. The present result improves almost allresults of the literature concerning it. Furthermore, it is established that allsolutions of the odd-order neutral delay differential equation(x(t)-px(t-т))~(n)+Q(t)x(t-σ)=0,where 0≤p<1,т,σ∈(0,∞)and Q(t)≥0,are oscillatory ifintegral from n=t-σ to t ((t-s)~(n-1)Q(s)ds>(1/e)(1-p)(n-1))!.This result generalizes a theorem of Gopalsamy et. al (Czech. Math. J., 42(1992),313-323)and also extends a very well-known result of Ladas (ApplicableAnalysls, 9(1979),93-98). 相似文献
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