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 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。
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。
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。
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 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。
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, 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 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。
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。
The initial boundary value problem of the nonlinear wave equation with the weak damping term and a source term was studied.
研究了含弱阻尼和源项的非线性波方程初边值问题。
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。
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。
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