differential equations

As everyone knows, the structure of exact solutions of partial differential equations is an important part of differential equations research.

众所周知，偏微分方程精确解的构造是微分方程研究的重要组成部分。

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In this paper, by using the monotone iterative technique with Upper and Lower and Partial Order methods, we study the existence and uniqueness solutions of terminal value problems for integro-differential equations in Banach spaces.

利用上下解的单调迭代方法及半序理论讨论了Banach空间积-微分方程终值问题解的存在性。

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This is called a normal system of differential equations.

这称为正规微分方程组.

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The generalization is quite similar to the corresponding one in the theory of differential equations.

这一推广和对应的微分方程中理论的推广相当类似.

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Solutions in this sense exist only for very few types of differential equations.

只有很少几类方程才存在这种意义下的解.

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Discrete Multisplitting AOR Waveform Relaxation Algorithm and Its Convergent Analysis for Initial Value Problem of Ordinary Differential Equations

常微分方程组初值问题的离散多分裂AOR波形松弛算法及其收敛性分析

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In order to avoid finding the exact solution of linear differential equations with variable coefficients, the standard Newton method is modified.

为避免寻找变系数线性微分方程的精确解，文中对原标准牛顿法作了修改。

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The penetration interception problem is expressed as a set of linearized differential equations with time variant coefficients in the intercept plane, which is time variant coefficient terminal control problem.

突防拦截问题表述为拦截平面内线化变系数微分方程，它是变系数终值控制问题。

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Solutions of differential equations in a Banach Space under the condition of weakly compact type

弱紧型条件下Banach空间中微分方程的解

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Then Galerkin's method is used to discrete the dynamics equations into ordinary differential equations.

采用伽辽金法离散,将动力学模型转化为常微分方程组.

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The overwhelming majority of nonlinear differential equations are not soluble analytically.

绝大多数非线性微分方程是不能用解析方法求解的.

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Very general systems of differential equations can be reduced to the normal form.

形式很普通的微分方程组可以化为正规的形式.

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Starting from the exact differential equations of the circular cylindrical thin shells set by W · Flugge, this paper makes a study of the characteristic equation of the open circular cylindrical thin shells deduced by F · Dischinger.

本文直接从弗留盖（W.Flügge）建立的圆柱形薄壳的位移的精确微分方程出发，分析研究了由迪辛盖尔（F.Dischinger）导出的开口圆柱形薄壳的特征方程。

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His doctoral dissertation on differential equations connected itself with existence theorems.

他论述微分方程的博士论文涉及到存在理论.

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The solution of the set of second-order linear differential equations depends on the eigenvalues of A.

二阶线性微分方程组(6.10)的解依赖于A的特征值.

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The earliest work in differential equations was first disclosed in letters from one mathematician to another.

常微分方程最早的著作出现在数学家们彼此的通信中.

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His work remains mathematically in the realm of ordinary differential equations.

他的工作在数学上就停留在常微分方程的范围.

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Adapted Solutions of Stochastic Differential Equations for Terminal and Boundary Value Problems with Poisson Jumps

带Poisson跳随机微分方程终值与边值问题的适应解

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Maximal and minimal solutions of terminal value problems for differential equations in Banach Spaces

Banach空间一阶微分方程终值问题的解

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Wang and Shi [ 75] compared the eigenvalues of the periodic and antiperiodic boundary value problems of second-order difference equations. They obtained beautiful inequalities among the eigenvalues, which are similar to those for second-order ordinary differential equations.

王怡和史玉明比较了二阶差分方程的周期和反周期边值问题的特征值，得到了与连续情况类似的比较不等式[75]。

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In 1728 Euler gave differential equations for geodesics on surfaces.

1728年,奥伊勒绘出了曲面上测地线的微方程.

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This model, based on a perfect group of partial differential equations, taking phase vectors as variables, is educed as a discrete one and, at last, is changed into real physics-space.

该模型从一组相空间中理想的偏微分控制方程出发，用相矢量为变量，导出其离散形式，再通过变换到实际的物理空间，得到最后要的电离层TEC参数的相空间解析预测模型。

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The Method of Quasi-upper and Low Solutions for Terminal Value Problems of Differential Equations with Discontinuous Terms

含间断项的微分方程终值问题的拟上下解方法

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Systems of linear differential equations can be handled by using the methods of linear algebra.

线性微分方程组可以应用线性代数中的方法求解.

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The more recent research on differential equations is concerned with the qualitative theory.

对微分方程更近代的研究是关于定性理论.

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The theory of the solution of partial differential equations remained to be fashioned.

偏微分方程解的理论还有待于形成.

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As applications, a second order system of differential equations is considered.

作为应用, 考虑了二阶微分方程组,得到了新的结论.

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The method used nonlinear differential equations for the force balance on the spindle and for the liquid flow continuity equation which are solved using Taylor and Laplace transforms.

通过对主轴力平衡条件和液体流量连续性方程的分析，推导出系统的非线性微分方程组，经Taylor和Laplace变换后，建立了系统的数学模型。

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Flow function and stress expressions constitute the inverse problem of partial differential equations.

考虑流量函数和压力的表达式构成的偏微分方程反问题。

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To some extent, his work pays dividends in differential equations.

他的工作在某种程度上给微分方程带来了好处.

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