共查询到20条相似文献,搜索用时 0 毫秒
1.
Guan Kaizhong 《Annals of Differential Equations》2005,21(2):144-152
In this paper we present infinite-integral conditions for the oscillation of a class of unbounded delay differential equations. 相似文献
2.
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
3.
一类非线性中立型差分方程的振动性(英文) 总被引:1,自引:0,他引:1
考虑一类非线性中立型差分方程Δ(xn - pnxn- k) + qnf(xn- l) = 0 ()我们得到了其所有解振动的几个充分条件. 相似文献
4.
OSCILLATION CRITERIA FOR CERTAIN NONLINEAR DIFFERENCE EQUATIONS 总被引:1,自引:0,他引:1
1 IntroductionIn a number of recent papers [l-61 oscil1ation of solutions of second ordernonlinear difference equations has been investigated. ln this paper, we studythe oscil1atory behavior of solutions of the second order nonlinear differenceequationA(r.--lAx.--l) p.f(x.) = 0, n = l, 2,'' (1)where the difference operator a is defined by Ax. = xn 1 -- xn) n = 1, 2,' ')and the functions r, p, f are to be specified in the following text. By a solutionof Eq.(1), we mean a real sequence x = … 相似文献
5.
In this paper, we further investigate a class of first order neutral Pantograph differential equations of Euler type by Guan and Shen . Some infinite-integral conditions for the oscillation of all solutions are established. 相似文献
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7.
Some sufficient conditions for the oscillation of all solutions of the delay differential equations with positive and negative coefficientsare obtained, where 0 < αi, βi <1,pi> 0, qi > 0, are constants, t = 1,2, …, n. 相似文献
8.
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
9.
一类泛函微分方程解的振动定理 总被引:3,自引:0,他引:3
给出了二阶泛函数微分方程 x"(t)+f(t,x(g(t,x(t)))=0 t≥ t_0 其中 f(t,u)(?)C([t_0,∞)×R,R),f(t,0)=0 和 g(t,v)(?)C([t_0,∞)×R,R),(?)(t,v)=∞的一切解均为振动的必要条件。 相似文献
10.
Jinchang Yu 《Annals of Differential Equations》2011,(3):390-394
By the averaging technique,we establish some oscillation theorems for a class of second order delay differential equations with nonlinear neutral term,the results obtained extend some known results in the previous literatures. 相似文献
11.
NECESSARYANDSUFFICIENTCONDITIONFOROSCILLATIONOFACLASSOFHIGHERORDERNEUTRALEQUATIONSLinYizhong(林宜中)(FujianNormalUniversity,福建师范... 相似文献
12.
We establish a new oscillation condition for even order neutral type differential equation of the following formwhere f is continuous and exists 1 ≤ k ≤ m(?)(t) ≡ Tk(t), a, (?)i ∈ C([0, ∞], R), i = 1, …,m. such that 0 ≤ a(t) ≤ L and 相似文献
13.
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
14.
This paper deals with the oscillatory properties of a class of nonlinear difference equations with several delays. Sufficient criteria in the form of infinite sum for the equations to be oscillatory are obtained. 相似文献
15.
超线性时滞微分方程解的振动性 总被引:4,自引:0,他引:4
研究一阶超线性时滞微分方程x′(t) p(t)[x(t—γ)]^α=0(α>1)解的振动性及非振动性,获得了保证其所有解振动的“almost sharp”准则,并应用所得结果于混合型时滞微分方程x′(t) ∑^ni=1pi(t)[x(t-γi]^αi=0,得到一族振动准则。 相似文献
16.
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
17.
一类非线性差分方程的振动性 总被引:6,自引:0,他引:6
本文研究了二阶中立型时滞差分方程△「an△(xn+pnxg(n)」+qnf(xa(n))=0的振动性,所得结果推广并改进了中立型时滞差分方程的一些已知结论 相似文献
18.
An oscillation criterion is obtained for even order neutral type differenceequations of the following formΔ~m(x_n+α_nx_(n-т))+f(n,x_n,x_(n-σ))=0,n=n_0,n_0+1,…,where m≥2 is even, n_0 is a nonnegative integer, Δ is the forward differenceoperator defined by Δx_n=x_(n+1)-x_n, and for i≥1, Δ~i is the i~(th)-order forwarddifference operator defined by Δ~ix_n=Δ(Δ~(i-1)x_n),т and σ are positive integers. 相似文献
19.
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
20.
OSCILLATION THEOREMS FOR A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS OF EMDEN-FOWLER TYPE
Some oscillation theorems are established by the averaging technique for a class of second order neutral differential equations of Emden-Fowler type. Our results essentially improve some known results in the previous literature. 相似文献