The framework preserved the second-order nonlinear terms and ensured the computer accuracy.
该分析框架保留了二阶非线性项，保证了随机负荷潮流的计算精度。
The calculated results indicate that molecule 1 has higher second-order nonlinear optical polarizability.
计算表明分子1具有较大的二阶非线性极化率。
The results show that these compounds have high values of second-order nonlinear polarizability in solution.
结果表明，所测定的化合物在溶液状态下表现出较强的二阶非线性极化特性。
The influences of walk-off Angle on effective second-order nonlinear coefficient and SHG efficiency were also analyzed.
计算并分析了离散角对有效二阶非线性系数和倍频效率的影响。
According to this studies, the second-order nonlinear optical properties of derivatives of molecule 1 were studied as well.
在此基础上，研究了分子1的系列衍生物的二阶非线性光学性质。
Analyzed the molecular structure of 4-Hydroxy-3-Methoxy Cinnamylic Acid, and studied the second-order nonlinear optical properties.
分析了4 羟基3 甲氧基肉桂酸的分子结构特点，研究了其二阶非线性光学性质和固体样品的透光性能。
In this paper we prove some theorems on harmonic solutions of some second-order nonlinear equations under a periodic external force.
本文给出了某些二阶非线性微分方程在周期外力作用下存在调和解的若干定理。
The second part reports the estimation of organic second-order nonlinear optical coefficient of the metal-phthalocyanine derivatives.
第二部分是金属酞菁衍生物的二阶非线性光学系数的测定。
The calculated results indicate that molecule 1 possesses second-order nonlinear optical polarizability comparable to that of molecule 2.
计算表明分子1具有与分子2几乎相等的二阶非线性极化率。
This paper is concerned with oscillation property of solutions of a class of second-order nonlinear differential equation with perturbation.
研究了一类二阶非线性摄动微分方程解的振动性质。
It can be improving second-order nonlinear optical properties by optimization of porphyrin dimer dipole orientation and dipole coupling effect.
研究表明，通过优化双卟啉二聚体分子偶极取向和偶极耦合增强的效应可以提高二阶非线性光学性能。
The oscillation of a class of second-order nonlinear functional differential equations is discussed, and some new oscillation criteria for the equations are obtained.
讨论了一类二阶非线性泛函微分方程的振动性，得到一些新的振动准则。
The second-order nonlinear differential equations are studied and the existence of the periodic degenerate solution is proved with the principle of the functional analysis.
应用非线性泛函分析的理论和方法研究了一类二阶线性微分方程，证明了周期衰减解的存在性。
We present an accurate route, which is suitable for the design of nonlinear optical frequency translator of biaxial crystals, to calculate the effective second-order nonlinear coefficients.
本文介绍计算双轴晶体二阶有效非线性系数的严格理论，适用于双轴晶体非线性光学频率变换器件的设计。
The governing equations for the problem is modified into a second-order nonlinear differential system with two infinitesimal parameters and a double parameter multiple scale method is presented.
将该问题的基本方程化为具有两个小参数的二阶非线性方程组，并在双参数摄动法和单参数多重尺度法的基础上提出了双参数多重尺度法。
With the coming of information times, second-order nonlinear optical materials will have wide applications in the fields of optical information processing, optical sensing, and telecommunications.
随着信息时代的到来，二阶非线性光学材料在高速光通讯、光信息处理以及光学存贮等领域有着非常广阔的应用前景。
The stability with probability 1 of second-order linear systems with random parametric excitation and a certain class of second-order nonlinear systems with random parametric excitation is studied.
本文研究了二阶线性随机参激系统和一类二阶非线性随机参激系统的以概率1稳定性。
The second order nonlinear optical effects on the three-wave is analyzed, and the nonlinear optical coefficient of the uniaxial crystal is deduced from an example of the BBO.
本文以偏硼酸钡晶体为例，分析了三个光波的二阶非线性相互作用，并推导单轴晶体的有效非线性系数的表达式。
The finite time feedback stabilization problem of a class of second order nonlinear system is discussed.
对一类二阶非线性系统的有限时间状态反馈镇定问题进行了讨论。
In this paper we consider second order nonlinear terms, set up more precise dynamic system's model and derive the computation formula of terminal perturbation deviation by state variation.
本文考虑到二阶非线性项，建立起更加精密的系统模型，推导出利用状态变分计算终端干扰偏差的公式。
Established a linearized oscillation result of the second order nonlinear neutral delay differential equation with positive and negative coefficients.
建立了二阶具正负系数的非线性中立型微分方程的一个线性化振动性结果。
The two conditions of the second order nonlinear differential equation with variable coefficient are given and expounded with examples.
对二阶变系数非线性微分方程的常系数化给出两个使其可积的条件，并举例论证。
The nonlinear Schrdinger equation leads to a second order nonlinear difference equation, and we obtain transmission spectrum of wave by iterating the difference equation.
把非线性薛定谔方程转化成二阶差分方程，通过迭代此差分方程得到透射谱。
In this paper, We discuss a class of boundary Value problems of second order singular perturbed nonlinear differential difference systems.
本文讨论一类二阶奇摄动非线性微分差分方程组的边值问题。
After a brief introduction to the principles of organic nonlinear optics and the procedures of poling, the progresses of polymeric second order nonlinear optical materials are reviewed.
本文在简单介绍了有机非线性光学和极化的原理后，综述了聚合物二阶非线性光学材料的研究进展。
This paper does research in the unstable second-order linear continuous system with a hysteresis nonlinear feedback.
本文对带有滞回非线性反馈的不稳定二阶线性系统进行了研究。
Oscillation of a kind of second order nonlinear differential impulsive equation(The equation is abbreviated), is studied and some sufficient conditions are obtained.
用黎卡堤变换研究如下二阶非线性脉冲微分方程（ 方程式略）得到了两个判断方程振动的充分条件。
By making use of monotone iterative technique, the iterative scheme and existence theorem of positive solution are established for a nonlinear second-order boundary value system.
利用单调迭代方法对一个非线性二阶边值系统建立了正解的迭代格式和存在性定理。
The autheors obtain results on the oscillations of solutions of a second order nonlinear neutral difference equation.
该文讨论了一类二阶非线性中立型差分方程解的振动性，扩充并改进了此类方程的已有结果。
In this paper, we prove the global existence and uniqueness of the solutions of the small initial value problems for a class of second order nonlinear hyperbolic - parabolic coupled systems.
本文证明了一类二阶非线性双曲—抛物耦合方程组小初值问题整体解的序在唯一性。
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