Solves the problem of boundary value on an annular crack by using the nonlocal stress solution of an axisymmetric crack problem and approximative method of series expansion.
利用已得到的三维轴对称问题的非局部弹性应力的解，采用级数近似展开的方法，求解环状裂纹的边值问题。
Consequently, the specific boundary value problems are provided for studying buckling and bifurcation of beams, using numerical method.
进而为应用数值方法研究梁的屈曲与分叉问题提供具体边值问题。
The calculating method using relative electrical parameters for the numerical computation of the fourth kind of boundary value problem of potential field is proposed.
本文提出了在位场第四类边值问题的数值计算中应用相对电参量的计算方法。
By using the transformation and the perturbation method, the nonlinear displacement equations are linearized, and the approximate boundary value problems are obtained.
利用变换和摄动法将非线性位移方程线性化，得到了近似边值问题。
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。
In this paper we discussed the existence and uniqueness theorems for third-order boundary value problems, using the method of upper and lower solutions.
本文利用上、下解方法证明了两类三阶边值问题解的存在性和唯一性。
By using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for the initial boundary value problem is studied.
利用多重尺度法和比较定理，研究了初始边值问题解的渐近性态。
Under the spherical coordinate, the boundary value method using the along track estimates of(T/P) satellite as open boundary conditions is applied to establish tide models in the Yellow Sea.
利用球坐标系中的二维潮波方程组，以T/P卫星沿迹分析结果为开边界条件的边值法，计算了黄海中的一个四边形区域。
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。
Using the boundary-value problem of holomorphic function and method of mathematical physics, we obtained the expression of solution for above mentioned problem.
利用全纯函数的边值问题与数学物理方法，得到了此类边值问题的解的表示式。
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。
By using shooting method, the obtained boundary value problem is numerically solved and the equilibrium paths as well as the post buckled configurations of the deformed beam are given.
采用打靶法求解该边值问题，获得了数值意义上的精确解，给出了梁的过屈曲平衡路径及平衡构形。
In the present work, a method for solving the linear delay differential equations of the boundary-value function problem by using Taylor series is given.
本文对线性时滞微分方程边值函数问题提出一种级数近似解方法。
We obtain the existence of extremal solutions of the boundary value problem by using the method of lower and upper solutions coupled with monotone iterative technique.
研究一类四阶微分方程解的存在性，利用上下解及单调迭代的方法，得出这类四阶方程的最大解和最小解的存在。
By using the method of small parameter expansions the present boundary-value problem is solved. Thus the formula in the second approximation for the stress field is obtained.
本文运用小参数展开法求解了这一大变形问题，获得应力场的二级近似公式。
The paper deals with the existence of global solution for some semilinear hyperbolic equation with initial and boundary value by using Galerkin method and compactness criteria.
应用Galerkin方法及紧致性原理，研究了一类非线性双曲型方程初边值问题整体解的存在性。
The paper deals with the existence of global solution for some semilinear hyperbolic equation with initial and boundary value by using Galerkin method and compactness criteria.
应用Galerkin方法及紧致性原理，研究了一类非线性双曲型方程初边值问题整体解的存在性。
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