弱概周期微分方程的弱概周期解

本文利用微分方程的指数型三分性给出了弱概周期微分方程的弱概周期解的存在性定理,并讨论了弱概周期微分方程的一些性质,从而改进了文献[2—7]中的一些结果.     

再谈7倍积一口清

对7倍积一口清，已经谈得很多了，只是初学的人感到7的循环倒数142857过长，难记难用，对辅助记忆法，也不大顺手，因此特再提出减3成的办法，任何数去掉8成，留下便是7成，只需记住几个特点，先是退数：见1—4退1，见5—8退2，见9退8，然后是三个下位去数，     

排气全燃型联合循环设计点性能简明估计公式

排气全燃型联合循环设计点性能简明估计公式蔡睿贤（中国科学院工程热物理研究所北京１０Ｏ０８０）关键词：排气全燃型联合循环，热力分析主要符号表Ｈｕ燃料热值Ｌ燃料理论空气量ｌ比功Ｐ单位能量价格Ｒ燃气轮机与蒸汽轮机的功率比α过量空气系数β摩尔燃料系数△增量η...     

周期分析法在棉红蜘蛛发生程度预测中的应用

本文应用周期分析方法对江陵县棉红蜘蛛—朱砂叶螨的预测预报技术作了新的尝试．经对江陵县３６年历史资料拟合，符合率高达９４．４％．运用这一技术对该县１９８７—１９９６年棉红蜘蛛发生程度进行了１０年长期预测预报．     

具有超前和滞后的泛函微分方程的周期解

考虑具有超前和滞后的泛函微分方程的ω-周期解的存在性问题,其中L_i,R_j,φ_k,ψ_k:R→R(i=1,…,m_1,j=1,…1,…,m_2,k=1,…,m_3)是连续的ω周期函数,D_i:R~2→R~(n×n)连续,关于t以ω为周期;f:R×R~n×…×R~n→R~n连续,关于t以ω为周期;m_1,m_2,m_3为正整数,ω为正常数。 近些年来,人们利用Liapunov第二方法研究常微分方程和具有有限滞后或无限滞     

示差半微分循环伏安法研究琥珀酰胆碱在水/硝基苯界面的传递行为

研究了油/水界面电解的示差半微分循环伏安行为。在0.01mol/L LiCl(w)-0.01mol/L TBATCIPB(nb)体系“电位窗”比TBATPB(nb)向正方向扩展约50mV,残余电流基本消除,使“电位窗”内的平台向左右拓宽约50mV。算得界面电容约为16μF/cm~2。考察了琥珀酰胆碱离子在w/nb界面的传递伏安特性,结果与一般半微分循环伏安法相似。但峰形改善,检测限降低一个数量级(1×10~(-6)mol/L),相对标准偏差在5％以内,可用于定量测定琥珀酰胆碱。     

Toeplitz矩阵乘积的封闭性

本文建立了两个Toeplitz矩阵之积仍为Toeplitz矩阵的一个充分必要条件,由此也立即获得了循环矩阵的乘积及其逆也是循环矩阵的已知结果。     

EXPONENTIAL STABILITY AND PERIODIC SOLUTION OF HYBRID BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH DISCRETE DELAYS

In this paper, we study the existence, uniqueness, and the global exponential stability of the periodic solution and equilibrium of hybrid bidirectional associative memory neural networks with discrete delays. By ingeniously importing real parameters di > 0 (i = 1,2, …, n) which can be adjusted, making use of the Lyapunov functional method and some analysis techniques, some new sufficient conditions are established. Our results generalize and improve the related results in [9]. These conditions can be used both to design globally exponentially stable and periodical oscillatory hybrid bidirectional associative neural networks with discrete delays, and to enlarge the area of designing neural networks. Our work has important significance in related theory and its application.     

PERSISTENCE AND GLOBAL STABILITY FOR TWO-SPECIES NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY

In this paper, a non-autonomous predator-prey model with diffusion andcontinuous time delay is studied, where the prey can diffuse between two pat-ches of a heterogeneous environment with barriers between patches, but for thepredator, the diffusion does not involve a barrier between patches, further itis assumed that all the parameters are time-dependent. It is shown that thesystem can be made persistent under some appropriate conditions. Moreover,sufficient conditions that guarantee the existence of a unique periodic solutionwhich is globally asymptotic stable are derived.     

PERIODIC BOUNDARY VALUE PROBLEM FOR SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS

This paper investigates the periodic boundary value problems for a class of second order functional differential equations. The monotone iterative technique and the maximum principle are applied to obtain the existence of maximal and minimal solutions.