theory of equations

The method used is the theory of partial differential equations.

本文内容为数字图像复原技术的研究，采用的方法为偏微分方程理论。

A model of evolutionary game is designed and the EES solutions of the model are obtained by using the theory of differential equations. Based on the analysis we put forward the incentives mechanism for enterprises joining a cluster. 3.

使用微分方程稳定性理论求出了该博弈模型的稳定均衡解，并画出演化博弈的相图进行分析，在分析的基础上提出了企业入群的激励机制。

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.

Based on the basic equations of elasticity, the theory of Hamiltonian systems in elasticity is achieved.

从弹性力学基本方程出发, 给出了弹性力学中哈密顿体系理论.

In the waveguide problems of this paper, results obtained cannot be directly found in the existing literature and have been worked out from fundamental theory of differential equations.

在本文所讨论的波导问题中，所得结果不能直接从现有文献中导出。我们已经从基本微分方程理论中算出了这些结果。

Aiming at the solving problem of equilibrium solution of this nonlinear model, geometry theory of differential equations is adopted, and the relative calculation formula is given.

采用微分方程几何理论分析河流综合水质模型的基本方程，探讨了河流综合水质模型的平衡状态解的求解方法，并给出相关计算公式。

This paper deals with generalized Cauchy-Riemann system in even dimensions, which is transformed to an equation similar to the ones in the plane by using the theory of governing equations.

研究了偶数维空间上的广义Cauchy Riemann方程组，利用有限伸张映射的控制偏微分方程组理论，将偶数维空间上的广义Cauchy Riemann方程组转化为一个类似于平面上的方程的形式。

The singular boundary problems of nonlinear differential equations are important subjects in the theory of differential equations.

非线性微分方程奇异边值问题是微分方程理论中的一个重要课题。

In this paper, by using the theory of differential equations, we discuss the propagation regularity of computer viruses, especially the virus propagation model for the latent period.

本文利用微分动力系统理论研究了计算机单种病毒的传播规律，特别是研究了考虑计算机病毒潜伏期的病毒传播模型。

The normal mode theory is used to provide transient dynamic responses for the equations of motion.

本文使用模态叠加法求解瞬态响应方程,讨论了壳体参数和材料参数对于响应的影响,给出了部分结果.

Numerical Solutions of a Gas Concentration Field Based on the Superposition Theory of Partial Differential Equations

基于叠加原理的气体浓度场数值计算方法

First, we present numerical stability theory of delay differential equations and parallel methods.

首先, 我们介绍了延迟微分方程数值解的稳定性理论及并行算法的发展情况.

Two Results on the Complex Oscillation Theory of Differential Equations with Polynomial Coefficients

关于多项式系数微分方程复振荡理论的两个结果

The part of algebra that deals with the theory of linear equations and linear transformation.

有关线性方程与线性变换理论的代数部分。

On the other hand, Lyapunov second method plays an important role in the establishment and development of stability theory of differential equations.

Lyapunov第二方法则对微分方程的稳定性理论的建立和发展起到了重要的作用。

The plane pencil theorem in space analytic geometry is proved by means of theory of linear equations.

引用线性方程组理论证明空间解析几何中的平面束定理。

Some Notes on the Theory of Linear Equations

关于线性方程组理论的若干注记

In the first one, we introduce the history of the qualitative and bifurcation theory of differential equations, some present results and our main work.

第一部分文献综述，介绍了分支理论的发展历史及其现状，并简要叙述了本文的主要工作。

Introduces the basic ideas and equations of Einstein's Special Theory of Relativity.

介绍爱因斯坦狭义相对论的思想和方程式.

It will motivate the development of qualitative theory of difference equations.

本文对差分方程定性理论的发展有重要的促进作用。

Based on the theory of differential equations, the authors assume that energy flows on first and second order processes, then establish and analyse the compartment model.

以微分方程理论为基础，假设能量按一级和二级动力学过程流动，建立了生态网络中的能量流动分室模型并进行了分析。

In the study of the qualitative theory of differential equations, especially in the study of the stability of differential equations, the estimate of solutions and the boundedness of solutions, Gronwall-Bellman-Bihari inequality can be used as handy tools.

在探讨微分方程定性理论中，尤其在探讨微分方程（组）的稳定性、解的估计及有界性的过程中，Gronwall-Bellman-Bihari不等式是一强有力的工具。

The theory of dynamic equations on time scales provides a unified theory for continuous and discrete equations or systems.

时间尺度上动力系统的研究，把连续与离散系统统一了起来。

In the forth chapter, by employing the comparison theorem in theory of difference equations together with pure analysis, we get sufficient conditions for permanence of a class of ratio-dependent discrete system.

第四章运用差分方程理论中的比较定理和纯分析的方法得到离散系统持久性的充分条件。

It is that different types of problems presented in these areas leading to the rapid development of the solving theory of equations, making the solving of congruence equations become one of the most active and popular topics in both the field of mathematics and cryptography research.

正是这些领域提出的许多不同类型的问题促进了同余方程组理论的快速发展，使得同余方程组求解问题成为当今数学和密码学领域中最活跃、最热门的研究课题之一。

It contained the correct set of equations that capped [ vi ] his theory of general relativity.

它涵盖了广义相对论中成套的正确 等式.

The Application of Fourier Method to the Theory of Partial Differential Equations

Fourier方法在偏微分方程理论中的应用

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.

Discusses the problems of chaos and its control of a class of singular biological economy system by the theory of differential-algebraic equations.

利用微分代数方程理论研究了一类广义生物经济系统的混沌及混沌控制问题。

The security of these new cryptosystems depends on some NP-complete problems in the theory of Diophantine equations and on the difficulty of large number decomposition.

这些体制的安全性依赖于求解丢番图方程中的一些NP完全问题和大数的素因子分解的困难性。