它们唯一共同之处就是,它们都被叫作一阶微分算子。
The only thing they have in common is that both are what's called a first order differential operator.
本文试应用求解一阶线性微分方程的方法导出几类常见的函数项级数的求和公式。
The sum formulas of several kinds of ordinary series with function term are deduced by using the method of solving linear differential equation.
这个模型是一个六阶时滞微分方程。
该方法无须迭代即可直接从微分方程辨识出模型阶次和参数。
The model's order and parameters are estimated from the differential equation directly without iterations.
用泛函的方法研究一类二阶微分方程周期解的存在性。
We studied a class of two order differential equations by means of the functional method.
采用了压缩性的坐标变换后，推导得到了五个一阶导数的微分方程组。
Using a compressibility coordinate transformation, a set of the first derivative differential equations has been derived.
有关算符的统计平均值随时间的演化满足一个封闭的一阶线性微分方程组。
The statistical average values of some relevant operators satisfy a set of differential equations of the first order.
对于二阶变系数线性微分方程来说，这也是可积的一个充分条件。
It is also a sufficient condition for second order linear differential equation with varied coefficient to be integrable.
研究了一类具有混合边界条件的奇摄动二阶积分微分方程边值问题。
This paper studies a class of singularly perturbed two order integral differential equation boundary value problem with mixed boundary conditions.
这组算子的统计平均值随时间的演化满足一个封闭的一阶线性微分方程组。
And the evolution of the statistical average values of the set of operators with time satisfy a group of one-order linearly differential equations.
本文利用拓扑度理论研究三阶微分系统反周期解的存在性。
Using topological degree the existence of anti-periodic solutions for third order differential systems is studied.
本文旨在研究求解非凸约束优化问题的基于二阶导数的微分方程方法。
The aim of the dissertation is to study second order derivatives based differential equation approaches to nonconvex constrained optimization problems.
根据一阶拟线性偏微分方程组的特征理论，讨论内弹道两相流方程组的类型。
Following the theory on characteristics of first order quasi-linear partial differential equations, classification of the balance equations for two-phase flow in interior ballistics is discussed.
用孤立不变集和孤立块的概念，给出了含一个参数的二阶常微分方程组的非驻定有界解分支点的存在性准则。
Using concepts of invariable set and isolated cube, we obtained existence for bifurcate points of bounded solutions of second order ordinary differential systems including a parameter.
通过分析系统不动点的稳定性，得到分数阶微分系统存在混沌的解析条件。
The analytical conditions that the fractional-order differential systems remain chaotic are obtained by analyzing the stability of the fixed points of the systems.
对峙反应动力学过程，其实质是一个求解一阶常微分方程的过程。
Essentially, the opposite reaction kinetics process is a process of resolving the first order ordinary differential equation.
本文给出了数值求解一类偏积分微分方程的二阶全离散差分格式。
In this paper, the second order fully discrete difference method for a partial integro-differential equation is considered.
对于整数阶常微分方程的数值解法，如欧拉法、线性多步法等都已有较完善的理论。
Numerical method of integral order ordinary differential equation, for example, Euler method, linear multiple step method, and so on, has had quite perfect theories.
本文中我们采用扩展混合有限元方法和混合体积元方法数值模拟了二阶拟线性抛物型积分微分方程和二阶拟线性抛物问题。
In this paper , we consider the Expanded Mixed Finite Element Method and mixed covolume method for the quasilinear parabolic integro-differential equation and quasilinear parabolic problem.
可分离变量的一阶微分方程是一类特殊的一阶微分方程，它在实际中有着广泛的用途。
Separable variables are a special class of first order differential equations, which has a wide range of USES in practice.
合并不同阶的均匀化非傅立叶热传导方程，消去缩小时间尺度参数，得到四阶微分方程。
By combining various orders of homogenized non-Fourier heat conduction equations, the reduced time dependence is eliminated and the fourth-order differential equations are derived.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
在第二部分中，同样的方法，我们讨论了一阶脉冲微分方程积分边值问题。
In part II, by the same way, we consider first-order impulsive differential equations with integral boundary value problems.
本文研究了两类具体含逐段常变量微分方程的伪概周期解的存在性问题和一类一阶微分方程组的数值解。
In this paper, the existences of almost periodic solutions and pseudo almost periodic solutions for several classes of functional differential equations are investigated.
给出了某类六阶非对称微分算子在一些合适拓扑下关于复参数的几个线性同构定理。
This paper provides several linear isomorphism theorems for certain nonsymmetric differential operators of sixth order under proper topologies about some complex parameters.
机翼的运动方程可以写成四维一阶常微分方程，取广义气流速度和线性俯仰刚度作为分岔参数。
The monition equations of airfoil are written as the four dimensional first order differential equations. Taking airspeed and the linear part of pitching stiffness as the bifurcation parameters.
一种重要的情形是常系数二阶线性齐次微分方程。
An important case is the linear homogeneous second-order differential equation with constant coefficients.
第三章讨论了奇数阶微分方程解的振动性，建立了一系列解振动的充分条件。
Chapter three mainly considers linearized oscillation for odd-order neutral differential equations, and some sufficient conditions will be established.
第三章讨论了奇数阶微分方程解的振动性，建立了一系列解振动的充分条件。
Chapter three mainly considers linearized oscillation for odd-order neutral differential equations, and some sufficient conditions will be established.
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