周一我们讨论了，薛定谔方程解的波函数。
And on Monday what we were discussing was the solution to the Schrodinger equation for the wave function.
证明了该方程解的时间解析性。
方程解(续)，特征值的意义，基组导论。
Solution of H-F Equations (cont.), Meaning of Eigenvalues, Basis Sets Introduction.
讨论双退化抛物型方程解的存在性和唯一性。
The existence and uniqueness of double degenerate parabolic equation are considered.
本文研究一般非线性渗流方程解的一种性态。
In this paper, we investigate a behavior of solution of general nonlinear filtration equations.
给出了一类具有滞量的微分方程解的部分表达式。
This paper states the expressions of solution of some differential equations with delay.
本文给出一类双曲偏泛函微分方程解的振动准则。
In this paper, oscillation criteria of solutions for a certain partial functional differential equations are obtained.
研究半导体器件的漂移-扩散模型方程解的渐近性。
The asymptotic behavior of the drift diffusion model for semiconductor devices is studied.
研究含外力和阻尼项一类梁的横振动方程解的率减率。
We study the decay rate of solutions of beam equations with damping and external force.
应用这些正交性条件，可将主动板的运动微分方程解耦。
The orthogonality conditions can be used to decouple the motion differential equations of the active plate.
主要的方法是利用矩阵差分方程的特征矩阵方程解的性质。
The main method is using the properties of the solutions of characteristic matrix equation.
这个例子展示了lsode的用法，这是一个常见的微分方程解算器。
This example demonstrates the use of lsode, an ordinary differential equation solver.
该文考虑了带有耗散项的广义对称正则长波方程解的长时间性态。
The long time behavior of solutions of the generalized symmetric regularized long wave equations with dissipation term is considered.
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。
To study the oscillatory of solutions to a class of nonlinear neutral hyperbolic differential equation with continuous distributed delay.
在常微分方程论中，微分不等式是研究方程解的各种属性的有用工具。
Among ordinary differential equation equations, differential inequality is a useful tool which helps research on properties of equation-solving.
在弹性梁方程满足渐近非一致非共振条件时，讨论了方程解的存在性。
This paper discusses the solvability of an elastic beam equation under asymptotic nonuniform nonresonance condition.
本文给出了具有变量可分离核的积分方程解的存在条件和初等求解法。
This paper gives existence and uniqueness condition of solutions of the integral equation with variable separable kernel, and it's elementary solutions.
在用三弯矩方程解连续梁时，通常是对每个中间支座列出一个三弯矩方程。
When solving continuous beams by means of a three-moment equation, we write usually an equation of three moments for every intermediate support.
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.
约束矩阵方程问题是在满足一定约束条件的矩阵集合中求矩阵方程解的问题。
The constrained matrix equation problem is to find a solution for the matrix equation in a constrained matrix set.
通过对方程解的动力学性质分析，讨论了各个参数对方程解的定性性质影响。
The effect of each parameter on existence of the periodic solution is discussed by analyzing the dynamical properties of the solutions of the equation.
通过建立泛函微分不等式，研究了一类高阶中立型偏泛函微分方程解的振动性。
By establishing a functional differential inequality, some sufficient conditions are obtained for the oscillation of solutions of certain partial functional differential equations.
研究了三阶非线性脉冲时滞微分方程解的振动性与渐近性，得到了一些充分判据。
The oscillation and asymptotic behaviors of three order nonlinear functional differential equation with impulses are investigated, and some sufficient conditions are obtained.
利用不动点定理，我们得到了关于这类非线性投影方程解的一些新的存在性定理。
By using the fixed point theorem, we prove some new existence theorems of the solution for this class of nonlinear projection equations in Hilbert Spaces.
应用变量代换的方法，导出了中心力场中势函数不同的薛定谔方程解的对应关系。
By using a method of changing variables, a relationship of solutions between Schrodinger equations for different potential functions in central field is obtained.
非线性方程解的存在性和唯一性问题的研究是非线性动力学的主要研究内容之一。
The research on the existence and uniqueness of solutions of nonlinear partial differential equations is one of main branches of nonlinear dynamics.
由描述微观体系实物微粒运动的波动方程解得的波函数有实函数和复函数两种形式。
From the wave equation description the wave motion of substantial particles in microcosmic system, it scan ana lysis that wave function has two forms: real function and complex function.
讨论了一类二阶强次线性时滞微分方程解的振动性质，建立了三个新的振动性定理。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established.
由于集值算子在现代数学的广泛应用，本文还研讨了关于集值算子方程解的存在性；
Due to the wide applications of setvalued operators in modern mathematics, the solvability of the setvalued operator equations are studied.
由于集值算子在现代数学的广泛应用，本文还研讨了关于集值算子方程解的存在性；
Due to the wide applications of setvalued operators in modern mathematics, the solvability of the setvalued operator equations are studied.
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