By using the special test function, we discuss the establishing of conservation law of the first boundary value problem of infiltration.
运用取特殊检验函数的方法，建立了渗流方程第一边值问题解的守恒律。
In this paper, moment method is used to deal with the first boundary value problem of one dimensional wave equation with stochastic initial and boundary conditions.
本文使用矩方法处理了具有随机初始条件的一维波动方程的第一边值问题。
The present paper provides a class of quasilinear pseudohyperbolic equation of the existence of classical solutions of the first boundary value problem under some suitable structure conditions.
在一定条件下，证明一类拟线性伪双曲方程的第一初边值问题古典解的存在性。
The author discusses a class of general of singular boundary value problems by using the first integral method, and the necessary and sufficient condition of positive solutions was obtained.
运用首次积分法讨论了较广泛的一类常微分方程边值问题，得到了正解存在的充要条件。
By using the weak maximum principle, the uniqueness and stability of the solution of water vapour equation with the first, second and third boundary-value problems were proven.
利用该弱极大值原理，证明了对于第一类、第二类和第三类边值问题，水汽方程解的唯一性和稳定性。
The existence theorem of a class of periodic boundary value problems for first order nonlinear integrodifferential equations is obtained through the method of lower and upper solutions.
研究了一类纯量形式非线性积分微分方程周期边值问题，利用上下解法证明了解的存在性。
Similar boundary-value problems are associated with expected first-exit times of the membrane potential in models of nerve.
在神经细胞模型中，关于膜电位的第一期望离开时间有类似的边值问题。
In part II, by the same way, we consider first-order impulsive differential equations with integral boundary value problems.
在第二部分中，同样的方法，我们讨论了一阶脉冲微分方程积分边值问题。
According to the principle, potential coefficients can be obtained directly in solving the mixed boundary value problems of first, second and third type.
根据这一原理可解第一、第二和第三边值问题的混合边值问题直接求得位系数。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
摘要利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
By using the fixed point theorem on cone, this paper studies the existence of positive solutions for first order periodic boundary value problem with impulses.
利用锥上的不动点定理讨论了一阶脉冲微分方程周期边值问题的正解的存在性。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
First. using Fourier's transformation, the 3-D boundary value problem of electric field of point source on a 2-D anisotropic geoelectric section is converted into a 2-D boundary value problem.
首先，用付氏变换将点源二维各向异性地电断面的三维边值问题转变成二维边值问题；
The solvability was considered for a class of third-order two-point boundary value problem with first and second derivatives.
讨论了一类非线性项含一阶和二阶导数的三阶两点边值问题的可解性。
The 2-d em boundary value problems with curved boundaries are first treated by the method of lines based on the matrix Theory.
本文首次将基于矩阵理论的直线法推广到曲线边界的二维电磁场问题。
The 2-d em boundary value problems with curved boundaries are first treated by the method of lines based on the matrix Theory.
本文首次将基于矩阵理论的直线法推广到曲线边界的二维电磁场问题。
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