研究一类半线性拟抛物方程的初边值问题。
Study the initial boundary value problem of semilinear pseudoparabolic equations.
考虑一类半导体方程组的混合初边值问题。
Some mixed initial boundary value problems of the semiconductor equations were studied.
研究具色散和耗散项的四阶波动方程的初边值问题。
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.
征明了一个伪抛物型方程初边值问题弱解的唯一性。
This paper tries to prove the uniqueness of weak solution to the initial-boundary problem of a pseudo-parabolic equation.
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 studies the initial boundary value problem for a class of quasilinear pesudoparabolic integrodifferential equations.
该文研究一带时滞的退化非线性抛物方程的初边值问题。
This paper deals with the initial boundary value problem of a nonlinear degenerate parabolic equation with time delay.
第二章，我们讨论半空间上的渗流方程组的初边值问题。
In Chapter 2, we discuss the initial boundary problem of a porous equation in half space.
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。
We consider the initial boundary value problem for a class of nonlinear degenerate wave equations in a bounded domain.
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。
The singular perturbation of the initial boundary-value problem for a kind weakly coupled reaction-diffusion equation system is discussed.
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 convergence of the formal series solution to the initial boundary value problem for the non-homogeneous wave equation is considered.
提出了求解中立型抛物方程初边值问题的交替分组显式迭代方法。
The alternating group explicit iterative method for solving the neutral parabolic equation with initial boundary conditions is given.
本文讨论了求非线性反应—扩散方程初边值问题数值解的一种方法。
A numerical method for the IBV problems of the nonlinear reaction-diffusion equation was described.
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 initial boundary value problem for nonlinear hyperbolic equation in three dimensional domain with moving boundary is studied.
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 we study the initial-boundary value problem for some nonlinear higher-order wave equation with nonlinear damping and source terms.
考虑一类半导体方程组的混合初边值问题。在边值函数非负的条件下。
In this paper, we consider the mixed boundary value problem for the semiconductor equations.
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。
It is discusses that the initial-boundary value problem under the third non-linear boundary condition for a kind of semi-linear parabolic equation.
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。
Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping.
本文利用能量扰动法得到具边界记忆项波动方程初边值问题解的指数衰减性。
The exponent decay of solution of wave equation with boundary memory is obtained by the energy method.
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。
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。
This paper proves the existence and stability of global bounded generalized solutions of initial boundary value problems for a kind of reaction-diffusion systems.
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。
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.
在一定条件下，证明一类拟线性伪双曲方程的第一初边值问题古典解的存在性。
The present paper provides a class of quasilinear pseudohyperbolic equation of the existence of classical solutions of the first boundary value problem under some suitable structure 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。
This paper is concerned with an initial-boundary problem of nonconvex scalar conservation laws with two pieces of constant initial data and constant boundary data.
详细地研究了各种情形的求解二维抛物型方程初边值问题的交替方向隐式差分法。
This paper discusses the different differential methods of Alternating Direction Implicit method with initial condition and boundary conditions in detail.
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。
In this paper, the author discusses the existence of solutions to initial boundary value problem of nonlinear parabolic equations and obtains the existence theorem.
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。
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.
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。
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.
研究具有声学边界条件的非线性波动方程初边值问题，得到整体强解的存在惟一性。
The existence and uniqueness of global solution for the nonlinear wave equations with acoustic boundary conditions are obtained.
研究具有声学边界条件的非线性波动方程初边值问题，得到整体强解的存在惟一性。
The existence and uniqueness of global solution for the nonlinear wave equations with acoustic boundary conditions are obtained.
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