This law is represented by an equation that many high schoolers encounter in physics class. It goes as follows.
这条定律可由如下等式表示，许多中学生在物理课上都会学到该等式。
First, examine this relationship from the Book class side of the equation.
首先，从Book类这一侧分析这种关系。
This paper gives an exact solution for free vibration of a physically nonuniform straight bar with varying section by the use of a class of integrable linear ordinary differential equation.
本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解，我们应用这一精确解验证了渐近解的精确度。
With the theory of stochastic differential equation, the authors discuss a problem of a class of risk investment portfolio with stochastic character.
利用随机微分方程理论，对一类具有随机特征的风险投资组合问题进行深入研究。
By using a fixed point theorem of mixed monotone operators in cone, this paper studied a fourth-order nonlinear singular boundary value problem, namely a class of elastic beam equation.
利用锥上的混合单调算子不动点定理，本文研究了一类四阶奇异非线性微分方程的边值问题，即一类弹性梁方程问题。
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.
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 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。
To study the oscillatory of solutions to a class of nonlinear neutral hyperbolic differential equation with continuous distributed delay.
研究一类具有连续分布滞量的非线性中立型双曲方程解的振动性质。
An algorithm was constructed to solve the least squares bisymmetric solution of a class of matrix equation.
构造了一种迭代法求一类矩阵方程的最小二乘双对称解。
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。
A class of inverse problems of perpendicular fault effect are discussed, which are modeled by a first kind integral equation with an analytic kernel.
考虑一类垂直断层效应反演问题，其数学模型是具有解析核的第一类积分方程。
A global sliding model variable structure control approach and a sort of hierarchical switching scheme used with equivalent equation are proposed for a class of multi-input systems.
在多输入系统控制中提出了全程滑模变结构控制方案和利用等效滑模方程进行的递阶滑模变结构控制方案。
In this paper, the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.
给出了热传导方程边界控制问题的精确解和近似解，证明了近似解对精确解的收敛性。
This paper deals with uniqueness of inversion of the nonlinear source term in heat equation with a class of nonlocal boundary of time.
探讨了热传导方程在非局部时间边界条件下非线性热源反演的唯一性问题。
This paper is concerned with the asymptotic behavior and existence of positive solutions for a class of higher order nonlinear neutral difference equation.
研究了一类高阶非线性中立型差分方程正解的存在性和渐近性。
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。
For solving four order parabolic equation, a new class of implicit different schemes containing parameters are constructed.
对四阶抛物型方程构造一族新的含参数隐式差分格式。
This class of nonlinear diffusion equation with convection term resemble to the celebrated equation arising in statistical mechanics and have important physical sense.
这类具有对流项的非线性扩散方程，类似于著名的统计力学方程，具有重要的物理意义。
In this paper, the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.
就一类典型的抛物型问题——热传导方程，研究矩形网格上质量集中有限元方法的有关性质。
In Chapter 1, we introduce the physics background of this class of nonlinear diffusion equation and generalize the monotone iteration.
第一章介绍了这类非线性扩散方程的物理背景以及单调迭代法的大致过程。
Modified the vorticity equation obtained in the first half of the class to include the earth's rotation.
考虑到地球的旋转，对前半节获得的涡度方程作出修正。
A class of exact solutions of the Dirac equation are obtained for an electron in the electromagnetic field of a wave guide formed by two pairs of hyperbolic cylinders.
研究了位于由两对双曲柱面构成的波导管电磁场里的单电子的性质，得到了单电子在场中狄拉克方程的新一类精确解；
The existence problem for a class of nonlinear retarded functional differential equation is researched.
研究了一类非线性滞后型泛函微分方程周期解的存在性问题。
A regularity result of a class of second order divergence form elliptic equation was obtained.
得到了一类二阶散度型椭圆方程很弱解的一个正则性结果。
In this paper, the existence and uniqueness theorems of solution of a class Non-monotonic parametric stochastic operator equation with piecewise contraction property is discussed.
本文讨论了一类非单调的具有分段压缩性质的含参数随机算子方程组的解的存在性和唯一性。
Global asymptotic stability of a class of nonlinear rational difference equations was studied by means of setting up an auxiliary equation, so that a sufficient condition was obtained.
运用建立辅助方程的方法研究一类非线性有理差分方程正平衡点的全局渐近稳定性，得到一个充分条件。
A class of singular perturbation of nonlinear boundary value problem for integral differential equation involving two parameters is considered.
考虑了一类关于两个参数的微分积分方程非线性边值问题的奇摄动。
This paper studies a class of singularly perturbed two order integral differential equation boundary value problem with mixed boundary conditions.
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.
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。
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