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一类m-点边值问题的正解 总被引:2,自引:0,他引:2
研究一类二阶m-点边值问题u″ f(t,u,u)′=0,00,i=1,…,m-2,ζi满足0=ζ0<ζ1<ζ2<…<ζm-2<ζm-1=1和i∑=1aiζi<1。应用推广的Krasnosel-skii′s不动点定理,给出了上述边值问题至少存在一个正解的充分条件。 相似文献
3.
《火力与指挥控制》1977,(4)
7752高射炮火控系统用的激光瞄准具和计算机 (Laser一sight and eomputer for an-ti一a ireraft gun fire eontrol system)—美国专利,3.592,466;29757753火控系统计算与模拟的方法 (An approaeh to fire eontrol sys-tem eomPutations and simulations)--一入D 10 65617GA;1975.8.8 sop7756战斗机用的实时计算机的研制经验 (Development_expcrionees of realt ime eomPuter based system in str-ikeaireraft)—AGARD eonf.pro-eeedin只5 No 149 on Reall’ime Co-ni P u t e r B a 5 e d 5 y 5 t em:\t}1 e ns(二r oe-ee,27一31入l… 相似文献
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一、问题的提出用∑(A、B、C、D)表示如下方程描述的线性定常连续系统: X(t)=AX(t) BU(t) X(0)=0 (1a) Y(t)=CX(t) DU(t)(1b) 而如下方程描述的线性定常离散系统: X(K 1)=AX(K) BU(K) X(0)=0 (2a) Y(K)=CX(K) DU(K) (2b) 则用∑(A、B、C、D)表示。其中:X为n维状态矢量,Y为P维输出矢量或观测矢量,U为m维输入矢量或控制矢量。因而常系数阵A、B、C、D的阶数分别为:n×n,n×m, 相似文献
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《兵团教育学院学报》1994,(2)
<正>1.引言 匹多(Pedoe)是现代一位著名的几何学家.他在四十年代初期,证明了以下的不等式:设△ABc和△A'B'C'的边长分别是a.b.c和a'.b'.c',它们的面积分别为△和△',则a'~2(-a~2+b~2+c~2)+b'~2(a~2-b~2+c~2)+c'~2(a~2+b~2-c~2)≥16△'△. 相似文献
6.
讨论了密度制约的两种群竞争离散系统{x(n+1)=x(n)exp|r1-a1x(n)-b1y(n)| y(n+1)=y9n)exp|r2-a2x(n)-b2y(n)|的初值解的有界性及系统的持久性。通过适当构造解的最终有界区域,证明了当b1/b2〈r1/r2/〈a1/a2时,系统是强持续生存的。这里ri,ai,bi(i=1,2)均为正的常数。 相似文献
7.
王胜兵 《海军工程大学学报》1991,(4)
本文引入带权的 Sobolev 空间,讨论了奇型线性问题:(?)((?)u)/((?)t)-1/x~(?)(x~aa(x)u′)′=f(t,x) (x,t)∈1×J(?)/((?)x)u(t,0)=u(t,1)=0 t∈Ju(0,x)=φ(x) x∈I式中 I=(0,1),J=[0,T],0<α<3的有限元方法,并在适当条件下,给出了最佳估计:‖u_(?)-u‖_(0,2,a)≤ch~2{‖φ‖_(2,2,a)+[integral 0 to t (‖u‖~2_(2,2,a)+‖u_(?)‖~2_(2,2,a)dt]~(1/2)}‖u_(?)-u‖_(1,2,a)≤ch~2{‖φ‖_(2,2,a)+[integral 0 to t (‖u‖~2_(2,2,a)+‖u_(?)‖~2_(2,2,a)dt]~(1/2)} 相似文献
8.
孔荣 《国防科技大学学报》1988,10(3):77-87 ,114
定解条件给在奇线上的偏微分方程的各种定解问题早已有研究[1~4],多数作者使用了特殊函数作工具。本文用能量不等式组来解决一类奇型双曲型方程的柯西问题。
本文主要讨论如下问题解尚存在唯一性:
Lu≡[(ta/2?t-λ1(x,t)?x)(ta/2?t-λ2(x,t) ?x)+a(x,t)?t+b(x,t)?x+c(x,t)]u(x,t)=f(x,t)
(x,t)∈R×(0,T]
u∣t=0=φ(x),limta/2ut=ψ(x)
这是一个二阶偏微分方程,当 α>0时,?t2的系数当t=O 时变为零,因而这是一个初始值给在奇线上的柯西问题。我们假定:
(A) α为常数,0<α<1;所涉及的都是实函数;
(B) α(x,t),b(x,t),c(x,t),λj(x,t)(j=1,2)∈C1([0,T],C2(R)),且上述函数的所有可能的导数都有界;
(C) φ(x),ψ(x)∈C04(R));
(D)f(x,t)∈C((0,T],C02(R)),且sup{ta/2(∣f∣+∣fx∣+∣fxx∣}<+∞(Ⅱ)
(E)存在常数δ>0,使当(x,t)∈R×[0,T]时,有:∣λ1(x,t)-λ2(x,t)∣≥δ条件(Ⅱ)中关于实函数的假设不是必要的,作此假设仅为方便。本文主要得到:定理1:在(Ⅱ)的假设下,(Ⅰ)存在唯一弱解u,并 u∈C([0,T),H1(R))∩C1((0,T),L2(R)).为证明该定理作了一系列准备,关键是证得引理1,引理2和引理6。 相似文献
9.
蒋增荣 《国防科技大学学报》1982,(4):71-88
本文利用快速多项式变换(FPT)计算N×M 型二维DFT(M=2~m,N=2~(m-r+1),1≤r≤m),所需的乘法及加法次数(复乘及复加)分别为M_u=1/2NMlog_2M-3/2NM+N~2+N(1+log_2M-log_2N)A_d=NMlog_2NM,与通常的以2为基的二维FFT 比较,加法次数相同,乘法次数减少约30—40%,从而提高了计算精度。本算法还适用于并行算法。 相似文献
10.
《兵团教育学院学报》1993,(4)
<正> 假设y(x)在[0,a]上绝对连续,且y(0)=0,则integral from n=0 to a(|y(x)·y′(x)|dx)≤a/2 integral from n=0 to a(|y′(x)|~2dx) (1)当且仅当y′(x)=b(常数)时,等号成立 (1)式叫Opial不等式 华罗庚把(1)式进行了推广,得到 相似文献
11.
用Excel演示大M单纯形法 总被引:2,自引:1,他引:1
楼建华 《兵团教育学院学报》2009,19(4):26-28
大M单纯形法简称大M法。在大M法中,要求M足够大,通常,M作为符号参与运算。大M法单纯形中的数据均可表为aM+b的形式,如果用有序数对〈a,b〉等价表示aM+b,则大M法单纯形中的M被形式上消去,使得,大M法可用Excel演示。 相似文献
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Previous empirical studies on the defense spending-economic growth nexus such as Kollias et al. (2007), Mylonidis (2008), Dunne and Nikolaidou (2012) analyzed this relationship in the case of the EU15. This study extends the analysis with the inclusion of more EU members and investigates the long run causal ordering between the two variables. Findings reported herein are not uniformed across all EU members. It is also found that end of Cold War has significant negative impact on defense expenditures of former east-European countries. 相似文献
13.
Daniel P. Heyman 《海军后勤学研究》1978,25(4):581-596
We consider a single item inventory system with positive and negative stock fluctuations. Items can be purchased from a central stock, n items can be returned for a cost R + rn, and a linear inventory carrying cost is charged. It is shown that for minimizing the asymptotic cost rate when returns are a significant fraction of stock usage, a two-critical-number policy (a,b) is optimal, where b is the trigger level for returns and b – a is the return quantity. The values for a and b are found, as well as the operating characteristics of the system. We also consider the optimal return decision to make at time zero and show that it is partially determined by a and b. 相似文献
14.
Yang‐Ming Chang 《Defence and Peace Economics》2013,24(2):183-200
This paper presents a simple model to characterize the outcome of a land dispute between two rival parties using a Stackelberg game. Unlike Gershenson and Grossman (2000), we assume that the opposing parties have access to different technologies for challenging and defending in conflict. We derive the conditions under which territorial conflict between the two parties is less likely to persist indefinitely. Allowing for an exogenous destruction term as in Garfinkel and Skaperdas (2000), we show that, when the nature of conflict becomes more destructive, the likelihood of a peaceful outcome, in which the territory’s initial possessor deters the challenging party, increases if the initial possessor holds more intrinsic value for the disputed land. Following Siqueira (2003), our model has policy implications for peace through third‐party intervention. 相似文献
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The costs of many economic activities such as production, purchasing, distribution, and inventory exhibit economies of scale under which the average unit cost decreases as the total volume of the activity increases. In this paper, we consider an economic lot‐sizing problem with general economies of scale cost functions. Our model is applicable to both nonperishable and perishable products. For perishable products, the deterioration rate and inventory carrying cost in each period depend on the age of the inventory. Realizing that the problem is NP‐hard, we analyze the effectiveness of easily implementable policies. We show that the cost of the best Consecutive‐Cover‐Ordering (CCO) policy, which can be found in polynomial time, is guaranteed to be no more than (4 + 5)/7 ≈ 1.52 times the optimal cost. In addition, if the ordering cost function does not change from period to period, the cost of the best CCO policy is no more than 1.5 times the optimal cost. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005. 相似文献
16.
This paper attempts to examine the effect of an anticipated foreign military threat on the steady‐state growth rate and the transitional behavior of the economy. The modeling strategy follows the Sandler and Hartley (1995) and Dunne et al. (2005) viewpoints to emphasize the role of national defense in affecting growth from the perspective of both the demand and the supply sides. We thus combine the public capital version of endogenous growth with a framework of competitive arms accumulation. It is found that the key factor determining the steady state and the transitional effects of a rise in the foreign military threat on the home weapon–capital ratio, the consumption–capital ratio, and the rate of economic growth, is the degree of relative risk aversion. 相似文献
17.
王娟 《武警工程学院学报》2014,(2):8-9
对于Hilbert空间中的Gabor框架,定义A=inf x∈[0,a][∑n∈Z|f(x-na)|^2-∑k≠0|∑n∈Zf(x-na)f^-(x-na-k/b|]〉0,B=supx∈[0,a]∑n∈Z|∑n∈Zf(x-naf^-(x-na-k/b)|〈∞,通过算子放缩证明的方法,可知{Mb^mSa^nf}m,n∈Z构成L^2(R)的框架,且框架界为A/b,B/b. 相似文献
18.
Maria Hedvall 《Defence and Peace Economics》2013,24(1):101-108
This paper discusses change transactions that occur in connection with the procurement of defence systems. The bases for the reasoning are the ideas of Miller and Vollman (1985) and Eppinger (2001). These researchers argue that unplanned flows of information lead to change transactions, causing significant overhead costs. According to this paper, change transactions in defence procurement could be caused by (a) the changes in technology taking place during the long lifetime of a defence system and (b) the structure and contents of the agreements between the defence agent (the procurer) and the defence industry (the supplier). 相似文献
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成礼智 《国防科技大学学报》1993,15(4):91-95
本文建立了运算量级为O(nlog_2m) 的多项式快速除法(其中,m,n分别为除式与被除式的多项式次数),把点数n+1为2的幂次的多项式快速插值推广到n+1为任意数情形,提出了运算量级为O (n log_2~2n) 的快速插值算法。 相似文献
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Bengt Klefsj 《海军后勤学研究》1982,29(2):331-344
Different properties of the HNBUE (HNWUE) class of life distributions (i.e.), for which \documentclass{article}\pagestyle{empty}\begin{document}$\int_t^\infty {\,\,\,\mathop F\limits^-(x)\,dx\, \le \,(\ge)\,\mu }\]$\end{document} exp(?t/μ) for t ≥ 0, where μ = \documentclass{article}\pagestyle{empty}\begin{document}$\int_t^\infty {\,\,\,\mathop F\limits^-(x)\,dx}$\end{document} are presented. For instance we characterize the HNBUE (HNWUE) property by using the Laplace transform and present some bounds on the survival function of a HNBUE (HNWUE) life distribution. We also examine whether the HNBUE (HNWUE) property is preserved under the reliability operations (i) formation of coherent structure, (ii) convolution and (iii) mixture. The class of distributions with the discrete HNBUE (discrete HNWUE) property (i.e.), for which \documentclass{article}\pagestyle{empty}\begin{document}$\sum\limits_{j=k}^\infty {\mathop{\mathop P\limits^-_{j\,\,\,}\, \le(\ge)\,\mu(1 - 1/\mu)^{^k }}\limits^{}} $\end{document} for k = 0, 1, 2, ?, where μ =\documentclass{article}\pagestyle{empty}\begin{document}$\sum\limits_{j=0}^\infty {\mathop {\mathop P\limits^- _{j\,\,\,\,\,}and\mathop P\limits^ - _{j\,\,\,\,\,}=}\limits^{}}\,\,\sum\limits_{k=j+1}^\infty {P_k)}$\end{document} is also studied. 相似文献