因此，它是求解非线性边值问题的有效力法。
Therefore, it is the most effective technique up to now for solving a nonlinear boundary value problem.
研究了一类奇摄动半线性边值问题解的边界层性质。
The boundary layer behavior of a class of semilinear singular perturbation problem is studied.
本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。
This paper presents mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
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。
A class of singular perturbation of nonlinear boundary value problem for integral differential equation involving two parameters is considered.
本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。
In this paper, the authors present mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
应用格林函数方法，将波纹膜片的非线性边值问题化为非线性积分方程进行求解。
The nonlinear boundary value problem of the corrugated diaphragm reduces to the nonlinear integral equations by applying the method of Green's function.
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。
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.
证明了一类含脉冲次线性奇异边值问题解存在的充要性条件，推广了以前的相应结果。
In this paper, we prove a sufficent and necessary condition of existence for the solution of a kind of sublinear singular bound ary value problem.
本文讨论描述流体在稀疏介质中流动规律的一类拟线性抛物型方程具有第三类非线性边界条件的初边值问题。
This dissertation is to discuss the laws of fluids in porous medium for original boundary value problem of some quasi-linear parabolic equations with the third type nonlinear boundary condition.
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。
This thesis mainly studies the problem of the boundary value of second-order and third-order nonlinear and linear difference equation.
本文研究一类有非局部性项的非线性热方程初边值问题正解在它的破碎点近旁趋向无穷的特征。
In this paper we consider a cla. se nonlinear heat equation. with nonlocal teen and study that on blow-up particular of positive solution near blow-up point.
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。
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.
讨论了一类半线性抛物型方程具有第三类非线性边界条件的初边值问题。
It is discusses that the initial-boundary value problem under the third non-linear boundary condition for a kind of semi-linear parabolic equation.
研究一类半线性拟抛物方程的初边值问题。
Study the initial boundary value problem of semilinear pseudoparabolic equations.
并将抽象结果应用到超线性微分方程两点边值问题。
Finally, the abstract results are applied to superlinear two-point boundary value problems.
本文讨论有阻尼的非线性波方程的边值问题。
This paper discusses the boundary value problem of the nonlinear wave equation with damping.
本文主要研究半直线上非线性方程组奇异边值问题解的存在性。
In this paper, singular boundary value problems of non-linear equation system on a half-line will be considered.
考虑了一类具材料阻尼的非线性双曲型方程初边值问题整体解的不存在性。
Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping.
本文讨论了拟线性微分方程边值问题的跳跃层个数。
This paper discusses the numbers of jump layers of boundary value problems in quasilinear differential equations.
讨论了一类非线性抛物型方程的初边值问题解的存在性，并得出了解的存在性定理。
In this paper, the author discusses the existence of solutions to initial boundary value problem of nonlinear parabolic equations and obtains the existence theorem.
本文研究了由非牛顿流体流动引起的一类退缩非线性自由边值问题。
A degenerate nonlinear free boundary problem arised from the flow of non-Newtonian fluids is studied in this paper.
本文考虑一类二阶及四阶线性和半线性抛物方程初边值问题的解的渐近性与振荡性。
This paper describes the asymptotic and oscillatory properties of solutions of initial boundary value problems of linear and semilinear parabolic equations of second and fourth order.
考虑了有界区域上一类非线性退化波动方程的初边值问题。
We consider the initial boundary value problem for a class of nonlinear degenerate wave equations in a bounded domain.
研究具有声学边界条件的非线性波动方程初边值问题，得到整体强解的存在惟一性。
The existence and uniqueness of global solution for the nonlinear wave equations with acoustic boundary conditions are obtained.
对于非线性四阶两点边值问题建立了一个孪生正解的存在定理。
An existence theorem of twin positive solutions is established for a nonlinear fourth-order two-point boundary value problem.
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。
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.
研究具有变动边界的三维区域上的非线性双曲型方程的初边值问题。
The initial boundary value problem for nonlinear hyperbolic equation in three dimensional domain with moving boundary is studied.
本文研究了一类具有非局部边界条件的奇摄动半线性椭圆型方程边值问题。
A class of initial boundary value problems for the singularly perturbed semilinear elliptic equations with nonlocal boundary conditions are considered.
本文讨论一类二阶奇摄动非线性微分差分方程组的边值问题。
In this paper, We discuss a class of boundary Value problems of second order singular perturbed nonlinear differential difference systems.
本文利用康托·洛维奇定理证明了非线性两点边值问题的一个存在唯一性定理。
In this paper an existence and uniqueness theorem for non-linear two-point boundary value problem is proved by means of Kantorovich 's theorem.
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