The existence and the life span of solutions to some mixed initial-boundary value problems are also investigated.
利用弹性薄板的广义变分原理和双调和方程的特解序列，提出了一种求解圆板混合边值问题的数值方法。
Structure of global weak entropy solution for initial-boundary value problems of scalar conservation laws with non-convexity conditions;
本文研究具有两段常数的初始值和常数边界值的非凸单个守恒律的初边值问题。
In this paper we study the initial-boundary value problem for some nonlinear higher-order wave equation with nonlinear damping and source terms.
研究一类带非线性阻尼项和源项的高阶非线性波动方程的初边值问题。
In this paper, an, implicit finite difference scheme is constructed for the initial-boundary value problem of a generalized Regularized Long-Wave equation.
本文对广义正则长波方程的初边值问题提出了—个隐式差分格式，该格式合理地模拟了方程本身所具有的两个守恒律。
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。
By using separation of variables and double Fourier series, we obtain a solution to the initial-boundary value problem of the forced vibration of this rectangular membrane.
利用分离变量法和二重傅里叶级数的方法，得到了矩形膜的受迫振动初边值问题的解。
This paper deals with the singularity perturbed problem of a class of quasilinear hyperbolic-parabolic type equations subject to nonlinear initial-boundary value conditions.
本文研究一类拟线性双曲—抛物型方程具有非线性初边值条件的奇摄动问题。
Thfi existence and uniqueness theorems of weak solutions of initial-boundary value problems for nonlinear degenerate parabolic systems were established by lower-upper solution method.
应用上、下解方法证明非线性退缩抛物型方程组初边值问题弱解的存在唯一性。
At last an initial-boundary value problem was considered and the numerical experiment demonstrated that the linear sinusoidal wave would successively evolve non-linearly into conoidal wave.
最后我们研究了初始边界值问题。通过数值试验证明，线性正弦波会逐步变为非线性的圆锥型波。
The models are characterised by an initial-boundary value problems of a system of nonlinear partial differential equations on the abnormal pressure and the paleotemperature of the formation.
盆地模拟的数学模型是一组关于地层超压和古温度的非线性偏微分方程初边值问题。
The result of numerical experiment shows that the error of asymmetric FEM is small , the method may be used in engineering and the description of the initial-boundary value problem is rational.
数值实验结果表明，不对称有限元法的计算结果误差较小，能在工程实际应用，而且混合问题的提法是合理的。
This is a geometrical multiscale strategy, which couples an initial-boundary value problem to be used in a specific vascular region with an initial-value-problem in the rest of the circulatory system.
这是一种几何多尺度策略，它事实上是一个局部血管区域的初始边值问题与循环系统剩余区域的初值问题的耦合。
A class of singularly perturbed reaction diffusion equation initial boundary value problem with a curve of turning point is discussed.
讨论了一类具有转向点曲线的奇摄动反应扩散方程初始边值问题。
The uniformly valid asymptotic solution to the original initial boundary value problems was obtained by the theory of differential inequalities.
利用微分不等式理论，得到了原初始边值问题解的一致有效的渐近解。
A class of singularly perturbed initial boundary value problems for reaction diffusion equations in a part of domain are considered.
本文是讨论一类在局部区域上的奇摄动反应扩散初始边值问题。
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。
A class of singularly perturbed initial boundary value problems for reaction diffusion equations in a part of domain are considered.
讨论一类在部分区域上的奇摄动反应扩散方程初始边值问题。
The initial boundary value problem for nonlinear hyperbolic equation in three dimensional domain with moving boundary is studied.
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。
In this paper, we investigate the artificial boundary conditions and its numerical methods based on natural boundary reduction for hyperbolic initial boundary value problems.
本文研究双曲型初边值问题基于自然边界归化的人工边界条件及其数值方法。
Study the initial boundary value problem of semilinear pseudoparabolic equations.
研究一类半线性拟抛物方程的初边值问题。
Some mixed initial boundary value problems of the semiconductor equations were studied.
考虑一类半导体方程组的混合初边值问题。
This paper studies the initial boundary value problem for a class of quasilinear pesudoparabolic integrodifferential equations.
研究一类拟线性拟抛物型积分微分方程的初边值问题。
We consider the initial boundary value problem for a class of nonlinear degenerate wave equations in a bounded domain.
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。
In this paper, the author discusses the existence of solutions to initial boundary value problem of nonlinear parabolic equations and obtains the existence theorem.
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。
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。
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.
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。
A class of initial boundary value problems for the singularly perturbed semilinear elliptic equations with nonlocal boundary conditions are considered.
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。
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。
Part I, the artificial boundary condition and its numerical methods based on natural boundary reduction for hyperbolic initial boundary value problems on unbounded domains is studied.
第一部分，研究无界外区域双曲型初边值问题基于自然边界归化的人工边界条件及其数值方法。
Part I, the artificial boundary condition and its numerical methods based on natural boundary reduction for hyperbolic initial boundary value problems on unbounded domains is studied.
第一部分，研究无界外区域双曲型初边值问题基于自然边界归化的人工边界条件及其数值方法。
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