In this paper, the second initial and boundary value problem of a nonlinear singular diffusion equation is discussed.
讨论了非线性奇异扩散方程的第二初边值问题，证明了存在唯一的光滑解，且解关于初值是连续依赖的。
The finite element method is used to numerically solve the initial and boundary value problem of the mathematical model.
采用有限元法求解数学模型的初值、边值问题。
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。
In this paper, the initial-boundary value problem of a kind of nonlinear fourth-order wave equations with damping and source terms is studied on the base of Beam equation.
本文在梁方程的基础上研究了一类具有非线性阻尼项和力源项的四阶波动方程的初边值问题。
Using the uniqueness theorem for boundary value problem of steady magnetic field and Weierstrass theorem, the unique choice of image electric current is discussed.
利用稳恒磁场边值问题解答的唯一性定理和维尔斯特拉斯定理讨论了镜象电流选择的唯一性。
We had used height anomaly to solve the mixed boundary value problem by measuring the value of gravity of standpoint, level coordinate and height.
传统的作业方法是通过测量地球表面固定点的重力值、水平坐标和高程得到重力异常来求解混合边值问题。
By using a new three-solution theorem, we obtain the existence and multiplicity of positive solutions for fourth-order boundary value problem.
讨论了四阶边值问题，通过应用一个新的三解定理，得到了其解的存在性与多重性。
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。
In chapter I, we mainly use the strongly monotone operator principle and the critical point theory to discuss a kind of fourth-order two-point boundary value problem.
在第一章中，我们主要利用强单调映象原理和临界点理论对一类非线性四阶两点边值问题进行了讨论。
The boundary value problem on the magnetic vector potential A is derived by introducing the magnetic vector potential A and using Maxwell's equations.
通过引入矢量磁位A并利用麦克斯韦方程组推出了以矢量磁位A为求解对象的边值问题。
By using the fixed point theory and a new three-solution theorems, the existence of multiple solutions of the boundary value problem was obtained.
通过利用不动点指数理论及一个新的三解定理，得到了边值问题多个正解的存在性。
In this paper, some general theorems and variational principles of the boundary value problem for two time instants in nonlinear elastodynamics are developed.
本文给出了非线性弹性动力学两时端边值问题的某些一般定理及变分原理。
The elastic equilibrium is reduced to solve some Rimann boundary value problem and the solution in closed form is given.
所求问题归结为求解复应力函数的边值问题，并给出了封闭形式的解。
The boundary value problem of elasticity equation is very important in both theoretical field and engineering techniques.
弹性方程的边值问题，无论是在理论上，还是在工程技术上都是很重要的问题。
The initial boundary value problem of fourth order wave equation with dispersive and dissipative terms is studied.
研究具色散和耗散项的四阶波动方程的初边值问题。
Two kinds of rectangular elements are considered to solve the two-dimensional and second-order elliptic boundary value problem on anisotropic meshes.
本文第一部分主要考虑在各向异性网格下用矩形单元对二维空间中二阶椭圆边值问题进行逼近。
Some triangular elements are considered to solve the two-dimensional and second-order elliptic boundary value problem on a class of anisotropic meshes (we call them GATM).
本文主要考虑在一类各向异性网格(我们称之为gatm)下用一些三角形单元逼近二维空间中二阶椭圆边值问题。
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。
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。
In this paper, a singular nonlinear elliptic boundary value problem which is very important in applied science and pure theory was discussed by the method of perturbation, sub-and super-solution.
本文利用摄动方法和上下解方法，讨论了一类奇异非线性椭圆边值问题，它具有很好的应用背景和理论意义。
The initial boundary value problem of the nonlinear wave equation with the weak damping term and a source term was studied.
研究了含弱阻尼和源项的非线性波方程初边值问题。
According to elastic mechanics theories and fracture mechanics knowledge, the mechanics models for boundary value problem to a class of partial differential equations are presented.
据弹性力学理论、断裂力学知识，给出了该问题的力学模型：一类偏微分方程边值问题。
The uniqueness and existence theorem for a nonlinear fourth-order boundary value problem is established.
研究一类非线性四阶常微分方程两点边值问题，得到一个存在唯一性定理。
The computational methods of electromagnetism field boundary value problem have a few, thereinto, the conformal mapping method and Green function methods are both in common use.
电磁场边值问题的计算的方法很多，其中保角变换法和格林函数法都是比较常用的方法。
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。
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。
This paper discusses initial boundary value problem (1) - (3). Under somewhat more general condition, the uniform boundness of the solutions is demonstrated and the decay estimate is obtained.
本文讨论始边值问题(1)—(3)，在一般条件下，证明解一致有界，并得出衰减估计。
And the problem is converted to the typical Neumann boundary value problem for the elliptic equations by inducing the scalar potential function.
通过引入静电场的标量位函数，将电场强度的矢量泊松方程转化为位势的椭圆型偏微分方程的诺依曼边值问题。
An existence theorem of positive solution is established for a superlinear second-order three-point boundary value problem. Here, the nonlinear term is bounded below and need not be nonnegative.
建立了超线性二阶三个边值问题的一个正解存在定理。这里，非线性项是下有界的并且不需要是非负的。
An existence theorem of positive solution is established for a superlinear second-order three-point boundary value problem. Here, the nonlinear term is bounded below and need not be nonnegative.
建立了超线性二阶三个边值问题的一个正解存在定理。这里，非线性项是下有界的并且不需要是非负的。
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