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。
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。
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。
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 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。
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。
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。
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。
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。
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。
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 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。
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。
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 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。
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。
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。
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 singular perturbation of the initial boundary-value problem for a kind weakly coupled reaction-diffusion equation system is discussed.
讨论了一类弱耦合反应扩散方程组的初边值问题的奇摄动。
This paper deals with general initial irregular oblique derivative boundary value problem for elliptic parabolic complex equations of second order in a multiply connected cylindric region.
讨论多连通柱体区域上二阶椭圆-物型方程的一般初非正则斜微商边值问题。
The convergence of the formal series solution to the initial boundary value problem for the non-homogeneous wave equation is considered.
考虑非齐次波动方程初边值问题的形式级数解的收敛性问题。
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。
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。
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。
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。
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