指数方程

Combining the precise exponential matrix calculation with the basic assumptions of constant average acceleration method of the Newmark family, explicit integral method with Taylor series and its algorithm are put forward.

将Newmark-β法中常平均加速度法的基本假定与精细指数算法结合，根据指数矩阵的Taylor级数展开式，提出了动力方程的显式级数解，并设计了相应的时程积分算法。

By analyzing the production test data,we get the index production equation,binomial production,production degression equation and the single well control reserve.

通过分析该区的试采井资料，得到了指数式产能方程、二项式产能方程及油井产能递减方程，同时计算了单井控制可采储量。

Via the stochastic averaging method, the four-dimensional system is reduced to a two-dimensional one. Through the logarithmic polar transformation , and then Girsanov theorem and Feynmann-Kac formula, the backword differential operator is then obtained. By expanding the eigenfunctions as a Fourier cosine series, the approximate analytic expansion of the moment Lyapunov exponent is then obtained.

首先在经典二元机翼颤振方程加入随机激励，通过随机平均法，Girsanov定理和Feynmann-Kac公式得到关于矩Lyapunov指数的特征值问题，其次采用Fourier余弦级数对特征函数进行正交展开得到系统矩Lyapunov指数的近似解析式。

Because the time series generated from finite difference equation with chaos may also possess exponential distribution of probability density. Additionally, irregular dynamics has ever been attributed to the presence of stochastic noise in many systems, but actually it may result from chaotic process in deterministic system.

近年来对非线性动力系统的深入研究发现：观察到某一过程具有指数型概率密度事件分布并不足以确定它就是泊松过程，由具有混沌行为的有限差分方程所产生的时间序列也可具有指数型概率密度分布；在许多系统中，过去归因于随机噪声的不规则动力学特性，实际上很有可能是由确定性系统中的混沌过程所致。

By changing differential equations into nonlinear integral equation,we study the existence of positive solution of a class of second order differential equations problems by the fixed point theorem of cone expansion and compression,and the fixed point index theorem,then we obtain two multiple positive .

通过将常微分方程转化为非线性积分方程，利用锥拉伸和锥压缩不动点定理和不动点指数讨论了一类二阶常微分方程的正解存在性问题，在一定条件下，得到了几个多重正解定理，同时证明了与此相关的主要引理

In chapter 3,we investigated the relationship between exponent of convergence to zero - sequence of the solution of certain homogeneous linear differential equation f + Af = 0 and the order of growth of A.

第四部分研究了一类二阶线性微分方程f+Q_1e~(p_1+Q_2e~(p_2)+Q/df=0中p_1，p_2首项系数的比值对方程解的零点收敛指数的影响，并推广到更广泛一类方程。

Then the explicit expression of it under exponential claims and the differential equation are obtained.Thus we discuss the effects of credit and debit interests on it through data analysis. Through the research of the mean,the moment generating function and the higher moments of discounted aggregate dividend payments,we discuss the optimal dividend payments problems.

而对于Gerber-Shiu函数的研究，则是通过随机过程及随机微分方程的知识得到它满足的积分-微分方程及边值问题，然后得到了它在指数索赔下的明确表达式以及Erlang(2)索赔下满足的微分方程，并通过数值分析得到贷款利息及存款利息对它的影响。

This article bases on the knowledge of ordinary differential equation, mathematical and physical equations and equation of reactive pervasion. It researches the blow-up critical exponents of heat conduction type which is parabolic equations with nonlinear boundary constraints.

本篇论文以常微分方程与数学物理方程，反应扩散方程的知识为理论基础，讨论了热传导问题的临界指数问题，该问题是一个带齐次边界条件的非线性抛物型问题。

The spatial structure character of tree populations in a natural Sonneratia caseolaris + S. apetala forest in Futian, Shenzhen was investigated using position index, mixture index, differentiation index, and Ripley's K-functions.

采用位置指数、混交指数、分异指数以及Ripley's K-方程，探讨了深圳福田红树林保护区海桑+无瓣海桑自然林的空间结构特徵。

Therefore, the study is significant both theoretically and practically. As a result, the studying aim of this paper is to establish a practical and complete system for the prediction of ship maneuvering motion, taking into account of the influence of the environmental factors, such as the wind, wave and current, establish a practical and complete system for the prediction of ship maneuvering motion. In this paper, the OpenGL virtual reality simulation technique is introduced into the field of ship maneuver and control, and using the MMG mathematical model, the three dimensional dynamic simulation system of the ship motion is established and good results are achieved. In the process of the system development, firstly, the maneuvering motion equations for ship in the still water are established, based on the MMG module mathematical model and serial experimental result. After compiling the program, the calculation results are compared with the experimental data, the coherence between them validate the mathematical model.

在系统开发过程中，首先采用MMG分离式数学模型及相关的系列化试验结果，建立单桨单舵海洋运输船舶在静水中的船舶操纵运动方程，并编制计算程序，经与试验结果比较，证实了计算结果的正确性；为了解MMG数学模型中模型参数变化对操纵性指数的影响程度，作者在上述已有程序基础上，对有关模型参数进行偏移修正，探讨了相应参数变化后的操纵性指数，对船舶操纵性指数对模型参数的灵敏度进行了详细的分析与探讨，所得结论与工程实际相吻合，具有实际应用价值，并为进一步提高船舶操纵性预报的精度打下了基础；然后，在已有的船舶静水操纵运动模型基础上，考虑双桨双舵的影响，建立了内河双桨双舵船舶的操纵运动模型；最后，综合考虑风浪流作用力的影响，进行了船舶的操纵运动仿真计算。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。