The new variational principles can fully characterize the initial-boundary-value problem of this dynamics.
这种新的变分原理能反映动力学初值-边值问题的全部特征。
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。
Both initial and boundary-value problems, including displacement, traction and mixed boundary conditions are solved.
解决了初始和边值问题，包括位移的、曳力的和混合的边值条件。
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。
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。
The dynamic constitutive models of saturated soils play an important role to the calculation of the dynamic response of soils and the solution to geotechnical initial and boundary value problems.
饱和土体的动力本构模型对于土体的动力反应计算分析和岩土工程初边值问题的求解发挥着重要的作用。
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。
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。
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。
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。
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 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。
Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping.
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。
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。
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。
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。
This paper proves the existence and stability of global bounded generalized solutions of initial boundary value problems for a kind of reaction-diffusion systems.
本文证明了一类反应扩散方程组初边值问题整体有界广义解的存在性和唯一性。
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。
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。
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。
It is discusses that the initial-boundary value problem under the third non-linear boundary condition for a kind of semi-linear parabolic 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。
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。
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 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 deals with the initial boundary value problem of a nonlinear degenerate parabolic equation with time delay.
该文研究一带时滞的退化非线性抛物方程的初边值问题。
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。
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。
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。
The initial boundary value problem and initial value problem for the semilinear pseudo-hyperbolic integrodifferential equation are considered.
本文讨论半线性拟双曲型积分微分方程的初边值和初值问题。
The initial boundary value problem and initial value problem for the semilinear pseudo-hyperbolic integrodifferential equation are considered.
本文讨论半线性拟双曲型积分微分方程的初边值和初值问题。
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