In Chapter IV, we focused on the global existence of 2-d piston problem in isentropic compressible flow.
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。
But the uniqueness of the weak solutions and the global existence of the classical solution are not obtained.
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。
Under appropriate hypotheses, the global existence and finite time blow-up of positive solutions are obtained.
在适当的假设条件下，得到了正解的整体存在性与有限时刻爆破的结论。
The local existence, the global existence and the uniqueness of a classical solution of this problem are proved.
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。
Global existence and uniqueness of solutions is discussed for a class of linear time-varying singular systems with delay.
讨论一类带滞后的线性时变广义系统解的整体存在唯一性问题。
Abstract: the global existence and blow-up problem for the parabolic equations with nonlinear boundary conditions were studied.
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。
We will use regularization method and upper and lower solution technique to give the local existence, global existence and uniqueness results.
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。
In Chapter 3 we study the global existence and uniqueness of the multidimensional free boundary problem which include three elliptic equations.
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。
The global existence and finite time blow-up of solutions on semilinear parabolic systems with nonlocal source have been studied by many authors.
非局部半线性抛物方程组解的整体存在和爆破已为大量作者研究。
Local existence, global existence and nonexistence of classical solutions for a degenerate and strongly coupled quasilinear parabolic system were studied.
研究一类强耦合拟线性退化抛物方程组初边值问题正古典解的局部存在、全局存在与非全局存在性。
This paper is concerned with the global existence and uniqueness of solution fora fast reaction-di? Usion equation with conditions for determining solution.
本文研究快速反应扩散方程定解问题解的整体存在唯一性。
By comparison the theorem and the upper-lower solution method, the sufficient condition for the finite time bow-up and global existence of solution are established.
通过运用比较定理和构造上、下解方法，建立了该方程组解的整体存在和有限爆破的充分条件。
Applying energy methods and a iteration lemma convergence of sequences of Numbers, we will prove the global existence of free boundaries and give some estimates to them.
我们将运用能量方法以及一个迭代引理证明在紧初值的情况下自由边界的整体存在性，并且给出自由边界的估计。
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。
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.
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。
Sufficient conditions are obtained for the global existence of a positive periodic solution of periodic neutral delay predator-prey system by using the method of coincidence degree theory.
利用重合度理论建立了一类周期中立型时滞捕食者-食饵系统正周期解的全局存在性的充分条件。
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, we prove the global existence and uniqueness of the solutions of the small initial value problems for a class of second order nonlinear hyperbolic - parabolic coupled systems.
本文证明了一类二阶非线性双曲—抛物耦合方程组小初值问题整体解的序在唯一性。
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.
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。
In this paper, we establish the local existence and uniqueness of the solution by using regularization method. We also obtain the global existence and nonexistence. Finally, we get the blow-up rate.
本文运用正则化方法证明了一类退化抛物方程解的存在唯一性，讨论了解的全局存在性与爆破，并在一定的初值条件下得到了解的爆破速率。
The absence of a temperature rise over that decade is often used by "climate sceptics" as grounds for denying the existence of man-made global warming.
在过去的十年里，全球平均气温不再上升的情况常常被“气候怀疑论者”作为否认人为的全球变暖因素存在的理由。
Because the example connector cannot know about the existence of the ad-hoc properties ahead of time, it does not store their property descriptions in the global item class.
因为示例连接器无法提前知道专用属性的存在，所以不在全局条目类中存储它们的属性描述。
The basic reason for the existence of multi-nations companies is the competitive advantage of a global network of production and distribution.
跨国公司存在的根本原因是其全球性的生产和分配网络具有竞争优势。
The existence of the equilibrium point and global exponential stability of distributed delays neural networks with reaction-diffusion terms are investigated in this paper.
摘要研究了具反应扩散有限连续分布细胞神经网络的平衡点的存在性及全局指数稳定性问题。
Your global society is to become more coalescent as new technologies and new abundance provide it with additional reasons for existence.
你们的全球社会为了存在的条件因素在变得更接合新的科技和新的丰饶来支持它。
That said, the existence of global supply chains means that protectionist rhetoric may be more muted than in pre-globalisation days.
但话说回来，全球供应链的存在意味着，保护主义论调可能会比全球化之前的时期低一些。
By using the qualitative methods of ODE, the positive equilibrium's global stability and existence and uniqueness of non-small amplitude stable limit cycle were obtained.
应用常微分方程定性方法，得到了正平衡点的全局稳定性和非小振幅极限环的存在唯一性的充分条件。
The necessary and sufficient conditions are discussed on the existence of global solutions for quasilinear reaction-diffusion systems with nonlinear boundary conditions.
讨论一类带有非线性边界条件的拟线性反应扩散方程组，给出了解整体存在的充分必要条件。
The necessary and sufficient conditions are discussed on the existence of global solutions for quasilinear reaction-diffusion systems with nonlinear boundary conditions.
讨论一类带有非线性边界条件的拟线性反应扩散方程组，给出了解整体存在的充分必要条件。
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