The solution of the initial-boundary problem for the case of free inner surface and clamped outer surface is given.
给出了圆筒内表面自由和外表面固定情形初始边值问题的解。
This paper tries to prove the uniqueness of weak solution to the initial-boundary problem of a pseudo-parabolic equation.
征明了一个伪抛物型方程初边值问题弱解的唯一性。
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。
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 fundamental solution of the mixed problem with the third kind homogeneous boundary condition and that with the zero initial condition are given respectively.
分别给出具有第三类齐次边条件的混合问题基本解以及具有零初始条件的混合问题基本解。
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。
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 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。
The calculation of the initial stress (or initial strain) singular integrals in elastoplastic boundary element method is a difficult, but an important problem.
弹塑性边界元法中初应力(或初应变)奇异体积分的计算一直是一个较为困难、但又是非常重要的问题。
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。
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。
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。
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 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。
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。
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。
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。
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。
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 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。
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。
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。
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。
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 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 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。
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