讨论具有一般形式的对流项、扩散项、边界流项以及反应项的一维牛顿渗流方程初边值问题非负解的整体存在性。
The present paper studied the global existence of nonnegative solutions of one-dimensional Newtonian filtration equation with more general boundary fluxes term, reaction, diffusion and convection.
我们将利用正则化方法和上下解技巧给出局部古典解和整体古典解的存在唯一性。
We will use regularization method and upper and lower solution technique to give the local existence, global existence and uniqueness results.
利用不变区域方法，证明了二氧化硫催化氧化管式反应器流向变换强制操作模型整体解的存在性和一致有界性。
The existence and uniform boundedness of the global solutions of the model for sulphur dioxide oxidation in a tubular reactor with periodic flow reversal are proved by the invariant domain method.
文中证明了该问题古典解的局部存在性、整体存在性和唯一性。
The local existence, the global existence and the uniqueness of a classical solution of this problem are proved.
考虑一个带有松驰机制的双曲型守恒律组，证明了当初始数据适当小时，整体解的存在及光滑性。
A hyperbolic system of conservation laws with relaxation is considered, and the existence and smoothness of the solution is proved.
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.
主要运用能量方法及稳定集和不稳定集的观点，研究一类半线性抛物方程的整体解和局部解的存在性及爆破问题。
In this paper, we are concerned with the existence of global solutions or local solutions and blowup of one kind of semilinear heat equation.
本文讨论了一类满足初值条件的非线性椭圆型方程组正整体解的存在性。
In this paper, we prove existence of positive entire solutions of a class quasi linear elliptic systems.
本文主要研究高维空间中带有退化粘性的标量守恒律方程的光滑解的整体存在性，以及该解逼近强平面稀疏波的衰减率。
This paper is concerned with the decay rates of the solution to the strong planar rarefaction waves for scalar conservation laws with degenerate viscosity in several space dimensions.
解的整体存在性。
本文讨论了一类半线性椭园方程组正有界整体解的存在性。
This paper is concerned with the existence for bounded positive entire solutions of a class of semilinear elliptic system.
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.
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.
利用算子半群方法和先验估计，证明了该问题整体弱解和整体强解的存在唯一性。
By the methods of operator semigroup and apriori estimates, the existence and uniqueness of the global weak solution and the global strong solution for the system are obtained.
本文采用非线性分析方法，研究生物种群动力学中一类拟线性抛物系统，得到解的整体存在性。
In this paper, using the methods in nonlinear analysis, this present paper, studies the quasilinear parabolic systems in population dynamics, and obtained the existence of the global solution.
获得了解的整体存在惟一性，并给出了非平凡平衡解局部渐近稳定性易验证的充分条件。
The global existence-uniqueness of solutions is obtained and the easy verifiable sufficient conditions for local asymptotic stability of a non-trivial steady-state solutions are given.
第四章主要研究二维等嫡可压缩流轴对称活塞问题激波解的整体存在性。
In Chapter IV, we focused on the global existence of 2-d piston problem in isentropic compressible flow.
另外，本部分还研究了相应问题古典解的爆破准则。关于弱解的唯一性和古典解的整体存在性尚未得到证明。
But the uniqueness of the weak solutions and the global existence of the classical solution are not obtained.
用上、下解的方法讨论一类反应方程混合问题整体解的存在性。
The Existence of global solution to the sort of mixed problems of reaction equation is discussed by the method of super-and sub-solution.
本文研究了一类高维广义神经传播方程初值问题的广义解整体存在性和唯一性。
In this paper, the global existence and uniqueness of mild solution for the cauchy problem of a class of generalized equations of pulse transmission type with higher dimension are studied.
本文利用比较方法讨论延滞系统解的整体存在性问题，得出延滞系统解的整体存在性的若干判别准则。
In this paper, we use the comparison method to discuss the global existence of solutions of a delay-differential system. Some criteria for the global existence of RFDE are given.
本文研究快速反应扩散方程定解问题解的整体存在唯一性。
This paper is concerned with the global existence and uniqueness of solution fora fast reaction-di? Usion equation with conditions for determining solution.
本文利用整体反函数理论，研究了半线性二阶微分方程周期边值问题，给出了周期解存在唯一性的充分条件。
The existence and uniqueness about semilinear second-order differential equation are established by using global inverse function theorems.
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 nonexistence of global solutions to a semi-linear Kirchhoff equation with dynamic boundary conditions is considered.
利用凸性分析方法，在方程具有边界条件和正初始能量情况下得到整体解不存在的充分条件。
By making use of variational methods, we obtain two positive solutions ofp(x)-Laplace equation, which generlizes the corresponding relusts of Laplace equation.
第三章是对具有三个椭圆方程组成的高维自由边界问题的整体解的存在唯一性的研究。
In Chapter 3 we study the global existence and uniqueness of the multidimensional free boundary problem which include three elliptic equations.
本文运用整体反函数理论证明了一类半线性方程边值问题周期解的存在唯一性，推广和改进了已有的一些结果。
The global inverse function theorem is applied for the existence and uniqueness of periodical solutions to the semilinear boundary value problems. Some results are improved.
本文讨论了在一维情况下一类非牛顿流初边值问题整体解的存在唯一性。
In this paper, we prove the existence and uniqueness of global weak solution of non Newton Filtration equation with a kind of nonlinear boundary condition.
文摘：讨论了带非线性边界条件的抛物型方程组的解的整体存在性及爆破问题。
Abstract: the global existence and blow-up problem for the parabolic equations with nonlinear boundary conditions were studied.
应用Galerkin方法及紧致性原理，研究了一类非线性双曲型方程初边值问题整体解的存在性。
The paper deals with the existence of global solution for some semilinear hyperbolic equation with initial and boundary value by using Galerkin method and compactness criteria.
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