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This paper introduced the differentiator series method to solve the group of linear ordinary differential equation with free term fi∈ eλ t pmλ∈ z,pm(t is polynomial of degree m first,the theories of solution were introduced,next,examples.

微分算子级数法求解自由项为fi∈eλtpm的线性微分方程组(λ∈Z,pm是t的m次多顶式)。

We construct algorithms in which directions are computed by these two systems and the step-sizes are generated by Armijo line search to solve the original constrained optimization problem and prove that the discrete scheme based on the differential equation system with the second order information has the locally quadratic convergence rate under the local Lipschitz condition.

我们构造了搜索方向由两个微分系统计算,步长采用Armijo线搜索的算法分别求解这个约束最优化问题,在局部Lipschitz条件下基于二阶信息的微分方程系统的迭代方法具有二阶的收敛速度。

In the low-low satellite to satellite gravity mission, the intersatellite range and range-rate data are the observable values, while the intersatellite acceleration can be derived from the range-rate through digital differential. Using acceleration data, people can avoid solving the variation equations of the satellite motion and simplify the observation equations. But on the other side, the digital differential will amplify the observation noises and finally affect the solved geopotential accuracy.

低低卫星跟踪卫星的观测量是两低轨卫星的星间距离或星间速度,星间加速度由星间速度通过数值微分导出,用星间加速度作为观测量可以避免解算卫星运动的变分方程,简化观测方程的建立,但数值微分会使观测噪声放大,从而影响重力位的解算精度。

All the known results about analytic solutions for iterative functional differential equations are obtained by the majorant series and the Banach fixed point theorem.

本文的第三章首先利用不动点定理得到了一类迭代泛函微分方程高阶光滑解的存在性、唯一性和关于已知函数的连续依赖性定理,得到了与常微分方程类似的结论。

Then, based on Malthus population prediction model, some new population models are brought in considering more kinds of factors....

再在马尔萨斯人口模型的基础上,引入了考虑众多因素的人口模型,分别基于常微分方程和偏微分方程进行了研究。

The results of statistic property theory analysis show that GCASM is in close agreement with the differential equation model of the general growth system in the sense of mathematical expectation.

但是 ,对于大多数与实际动力学系统相关的问题,其微分方程模型没有解析解,为了对微分方程模型进行求解,人们通常放弃符

In addition, in this paper, some applications of matrix direct product and straightening operator to solve matrix differential equations are discussed.

本文还讨论了矩阵直积和拉直算子在解矩阵微分方程中的1点应用,同时给出了矩阵微分方程解的形式。

In the chapter 3,we base on the existence of periodic solution ,using the method of linearization and applying the mean value theorem and the variation-of-constants formula, we get the sufficient condition of the exponential stability of periodic solution of a class of nonlinear functional differential system .

在第三章中,建立在系统周期解存在的基础上,利用线性化的方法,根据微分中值定理和常量变差公式,得到了一类非线性泛函微分系统周期解指数稳定的充分条件。

Based on the existence of the " mean point s"in Differential mean value Theorem,This paper futher studies the problem of the number of the " mean point s" in Differential mean value Theorem.

微分中值定理"中值点"存在的基础上,进一步研究微分中值定理"中值点"的个数问题。

In this paper,we present a new class of second order linear differential equations with meromorphic coefficients and investigate the problems on the fixed points and hyper order of solutions and their 1st,2nd derivatives.

该文提出了一类新型的亚纯函数系数的二阶线性微分方程,研究了其亚纯解及其一阶和二阶导数的不动点及超级问题,得到了有关复域微分方程亚纯解及其一阶和二阶导数的不动点性质。

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