The dynamics of leaf area accorded with the curves of second-order equation.
叶面积消长动态符合一元二次方程变化曲线；
It's a second-order equation in x, and is a parabola and a parabola has this shape.
这是一个x的二次方程，也是一个抛物线方程式,抛物线都长这样。
By using a fixed point theorem in cones, we investigate a second-order equation and the theorem of existence of unique positive periodic solution is given.
应用不动点定理，研究了一类二阶时滞微分方程，给出了其唯一周期正解的存在性定理。
By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated.
利用压缩映照定理，研究了一个二阶泛函差分方程边值问题，得到存在和唯一性定理。
The oscillation for solutions of the class of the second order strongly sublinear differential equation are discussed and three new oscillation theorems are obtained.
讨论了一类二阶强次线性微分方程解的振动性质，获得了三个新的振动性定理，推广和改进了相关文献的结果。
Consider the distributed parameter system described by the second order partial differential equation of composed type, we discuss its a boundary optimal control problem with quadratic performance.
考虑用二阶复合型偏微分方程所描述的分布参数系统，研究了它的一个使平方性能指标达到最小值的边界最优控制问题。
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。
It is also a sufficient condition for second order linear differential equation with varied coefficient to be integrable.
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。
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。
By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated. Existence and uniqueness results are obtained.
利用压缩映照定理，研究了一个二阶泛函差分方程边值问题，得到存在和唯一性定理。
The aim of the dissertation is to study second order derivatives based differential equation approaches to nonconvex constrained optimization problems.
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 frequency stability, amplitude stability and harmonic content can be deduced from the second order perturbation solution of that equation.
方程的二阶近似解显示出非线性效应对振荡频率稳定度、振幅稳定度及波形正弦纯度的影响。
The application of the asymptotic solution of second order linear homogeneous equation with big parameter to studying the longitudinal and twisted vibrations of tapered sticks is discussed .
讨论了含大参数的二阶线性方程的渐进解，并将其应用于楔型杆的纵振和扭振的研究。
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。
For the latter, since we transform the problem to seek to solve the second order differential equation into that of twice integrations, the calculating process is also simple.
后者由于把一个二阶微分方程的求解转化成为两次积分问题，也使计算过程简化。
Given the stability, error estimate and numerical experiments for the nonlinear equation of second order backward difference(4)Given the weighted of second order convolution quadrature.
给出非线性方程的二阶向后差分格式稳定性、误差估计。 （4）给出二阶卷积积分的权重。
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。
The governing equation of the temperature field of pulse - magnetron is a nonlinear second order partial differential equation .
磁控管的温度分布是二阶非线性偏微分方程。
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。
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。
In this paper, the properties of the positive solutions to a second order nonlinear parabolic equation have been studied.
研究了一类带有非线性边界条件的二阶非线性抛物方程正解的性质。
In chapter two, the asymptotic expansion and superconvergence result of a class of second order quasilinear equation in generalized finite element space is presented.
第二章中，给出了一类二阶拟线性方程广义有限元解的渐近展式和超收敛结果。
The pressure drop pulsation is analyzed by using a lumped parameter nonlinear model. The results show that the pressure drop type instability can be described by a second-order differential equation.
使用集总参数非线型模型来分析蒸发管中汽液两相流压力降型脉动，结果表明：压力降型不稳定性可以用二阶常微分方程来描述。
In this paper, the second order fully discrete difference method for a partial integro-differential equation is considered.
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。
This thesis mainly studies the problem of the boundary value of second-order and third-order nonlinear and linear difference equation.
本篇硕士论文主要研究了一般形式的二阶和三阶非线性和线性差分方程的边值问题。
An important case is the linear homogeneous second-order differential equation with constant coefficients.
一种重要的情形是常系数二阶线性齐次微分方程。
The first order and the second order of fully discrete discontinuous finite element schemes are proposed for the concentration equation.
对浓度方程在时间上进行了一阶和二阶离散，采用间断有限元格式；
In general, special solution of non-homogeneous linear equation of constant coefficient of the second order is obtained by the method of undetermined coefficient, but it's process is too complicated.
二阶常系数非齐次线性微分方程的特解一般都是用“待定系数”法求得的，但求解过程都比较繁琐。
In order to compute bulging of wide face of continuous cast slab, it is necessary to solve a third order differental equation for creep or a second order one for elastoplastic deformation.
连铸板坯宽面鼓肚对铸坯中心偏析和裂纹有较大影响，为计算板坯宽面鼓肚，按蠕变规律，需解一个三阶微分方程，按弹塑性规律，需解一个二阶微分方程，十分费时。
In order to compute bulging of wide face of continuous cast slab, it is necessary to solve a third order differental equation for creep or a second order one for elastoplastic deformation.
连铸板坯宽面鼓肚对铸坯中心偏析和裂纹有较大影响，为计算板坯宽面鼓肚，按蠕变规律，需解一个三阶微分方程，按弹塑性规律，需解一个二阶微分方程，十分费时。
应用推荐