We consider the initial value problems of forced quasilinear wave equation with nonlinear dissipation.
研究具非线性耗散项的强迫拟线性波动方程的初值问题。
By using this formula, orthogonal polynomial fitting algorithm for initial value problems of ordinary differential equations is established.
利用这一公式建立了常微分方程初值问题的正交多项式拟合算法。
Especially, the generalized initial value problems are investigated and the cases are given in order to comparison with those under the non-hydrostatic equilibrium.
特别地，研究了它的广义初值问题并给出实例，以与非静力平衡的情况进行比较。
The formulas of general solutions and sufficient and necessary conditions of solutions of the initial value problems for a class of singular linear system are studied.
研究了一类奇异线性系统初值问题可解的充要条件及通解公式，给出了奇异线性系统的化简方法及其简单形式，所得结果统一和推广了正常线性系统的相应结。
Based on Gurtin type variational principle a finite element method for initial value problems is presented by functional analysis. It is used for problems of beams dynamics.
从卷积型变分原理的泛函出发，通过分析泛函中的各项，推导出求解动力响应问题的时-空有限元法，并将其应用于梁的动力问题中。
Sufficient and necessary conditions for existence and uniqueness of solutions for initial value problems of singular system are studied in this paper, and the formula of solution is given.
研究了奇异线性系统初值问题解存在唯一的充要条件，并给出了其求解公式。
In this paper, we prove the global existence and uniqueness of the solutions of the small initial value problems for a class of second order nonlinear hyperbolic - parabolic coupled systems.
本文证明了一类二阶非线性双曲—抛物耦合方程组小初值问题整体解的序在唯一性。
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。
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。
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。
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。
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 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。
A class of singularly peturbed initial boundary value problems for the raction 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。
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。
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。
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。
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。
The modified integrator eliminated the initial value and DC drift problems associated with the pure integrator, and achieved a better performance than lowpass filter.
该改进型积分器消除了纯积分器带来的初值不准确、直流偏移等问题，又可以获得比低通滤波器更优的性能。
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。
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。
This form of parallelism also can be applied to other two-dimensional initial boundary value problems.
这种思想也可用于求解其它方程的二维初边值问题。
A solution of elastic wave equation: is studied in this paper. An analytic expression of solutions of the initial boundary value-problems is given.
本文对弹性波动方程的解进行了探讨，给出了初边值内题解的解析表达式。
The G. K. S. Stability of the Hyperbolic Difference Approximation with Two Boundaries Initial-Value Problems.
关于双曲型偏微分方程式差分逼近的双边值问题的G.K.S。稳定性。
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。
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。
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。
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