根据动力学曲线获得了乙撑碳酸酯与三种有机胺在不同反应条件下发生胺解反应的速率常数。
The aminolysis reaction rate constants of ethylene carbonate by ethanolamine, diethanolamine and butylamine were obtained according to the kinetic curves under different reaction conditions.
目的研究一阶具有分段常数变量的脉冲微分方程的解的性质。
Objective to investigate characters of the solution to first order impulsive differential equations with piecewise constant arguments.
这些边界条件用以决定一般解中的积分常数。
Boundary conditions are used to determine the integral constants in the general solution.
测定结果能充分显示出H_2O_2分解的一级反应特点，并且速率常数重现性较理想。
The measuring results may fully show up the characteristics of H_2O_2decompositions. And the repeatability of the rate constant, k, is better.
由此方程的解导出了等离子体显示单元的电导率、介电常数以及着火条件的表达式。
The expression of firing condition, dielectric constant and electrical conductivity of AC plasma display cell can be derived from the equation's solution.
该算法将配电网中的功率量测变换为电流量测，实现了雅可比矩阵常数化，支路电流实虚部解耦求解。
Power measurements are all transformed to equivalent current measurements that make the Jacobian matrix constant and calculates current real and imaginary part dividualiy.
借助相应带不定权特征值问题的第一特征值建立了其非平凡解的存在性定理，其中方程组中特征值参数小于某已知常数。
The existence of a nontrivial weak solution is established with the help of the first eigenvalue of the corresponding eigenvalue problem, where the eigenvalue parameter is less than a known constant.
文章将建立了具有分段常数滞后变元微分方程组振动的一个充分条件，并讨论其非振动解的渐近性。
The present paper is devoted to the oscillations and nonoscillations of a kind of impulsive delay differential equations with piecewise constant argument.
在积分常数为零的条件下，证明了该方程存在光滑孤立波解、不可数无穷多光滑周期波解、扭结波和反扭结波解。
When the integral constant is zero, the existence of smooth solitary wave solutions, uncountably infinite, many smooth periodic wave solutions, and kink and anti-kink wave solutions are proved.
根据快速解耦潮流方程中系数矩阵是常数矩阵的特点，抽象出模糊命题，提出采用模糊推理的方法求解潮流问题。
In the fast decoupled load flow problem, the coefficient matrix is constant. According to this property, a fuzzy inference method is applied to solve the load flow problem.
通过构造差分方程的周期数列解，研究了一类具有分段常数变元的脉冲微分方程周期解的存在性。
The existence of periodic solutions for a class of impulsive differential equations with piecewise constant argument is studied by constructing periodic sequence solutions of difference equation.
应用多尺度微扰理论，对于弱耦合常数的六次非简谐振子得到了其运动方程的经典和量子情况下的一阶解。
Classical and quantum oscillators of quartic anharmonicity are solved analytically up to the second power of (weak-coupling constant) by using the multiple-scale perturbation theory.
第三章研究信号函数为分段常数非线性函数时模型解的渐近行为。
In the last chapter we study the asymptotic behavior of solutions to the model when the signal function is a nonlinear constant function.
建立了双参数弹性地基上受压的矩形薄板自由振动位移函数微分方程的一般解，其中积分常数由边界来确定。
A general solution of differential equation for free vibration displacement function of compressed rectangular thin plates on two parameters elastic foundation is established.
弹性弯曲薄板在各种边界条件下，用最小二乘法极值原理可以解算待定常数。
As to elastic flexual plates under various boundary conditions, the undetermined parameters can be solved by the theory of minimization of least square method.
其次，我们给出了扩散引起正常数平衡解失稳的条件。
Then, for the positive constant equilibrium, we give a sufficient condition for diffusion-driven instability occurring.
此解满足所有弹性力学基本方程，包含了全部弹性常数，可满足任意精度要求。
Every equation of elasticity can be satisfied and all the elastic constants are taken into account. Arbitrary precision of a desired order can be obtained.
本文主要使用度理论证明了这些捕食模型在一定条件下存在非常数正稳态解。
In this paper, by making use of the Degree theory, we prove the existence and non-existence of the positive steady-state solutions to these models on a certain of conditions.
将非线性规划问题的单纯形加速法用于混合酸的线性滴定计算，同时优化酸浓度及有关条件常数，求出酸浓度的最优解。 讨论了影响单纯形法计算速度的因素。
The simplex optimization method about nonlinear programming problem has been used in the mixed acid linear titration and the effect of various factors on computative speed has been discussed.
本文进一步研究了这些系数随时间变化而趋于一个定值或在某一常数附近作周期性振荡，并给出容易检验存在唯一全局渐近稳定的正周期解的条件。
In this article we further study the cases in which the coefficients of the model vary with time and tend to definite values or vibrate periodically near certain constants and...
通过计算结构常数，对三维可解李三系进行了分类，写出了它们的非零乘法表。
Calculating their structure constants, the authors classify the 3 dimensional solvable Lie triple systems and write their multiplication tables for a basis.
对常数热容或平均热容，还可求出分析解。
An analytical solution relating X and t can be found for the case of constant or mean heat capacity.
该方法有简单，避免奇异积分、解设定常数的方程组状态好等优点。
This method has the advantages of simplicity, no improper integrals and good conditions of simultaneous equations with constantcoeffients.
求解的方法是采用曲线坐标变换，两次求解相应的调和方程，推导出解的一般形式。然后利用边界条件确定通解中的待定常数。
The general solution for this plate is obtained by solving the corresponding harmonic equation twice with the help of the curvilinear coordinate transformation.
求解的方法是采用曲线坐标变换，两次求解相应的调和方程，推导出解的一般形式。然后利用边界条件确定通解中的待定常数。
The general solution for this plate is obtained by solving the corresponding harmonic equation twice with the help of the curvilinear coordinate transformation.
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