英汉例句

• 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。

• in this paper, the authors prove the global existence and uniqueness of classical solutions to free boundary problems with general form for quasilinear hyperbolic systems.

  证明了拟线性双曲方程组带有一般形式的自由边值问题的整体经典解的存在唯一性。

• 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。

• 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。

• firstly in chapter two, we introduce the b-g inequation, which is important in the proof of the global existence of solutions.

  首先在第二章介绍了b-g不等式，这个不等式在证明整体解的存在唯一性的过程中是非常有用的。

• 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。

• 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。

• 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。

• 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。

• 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 using some constructive procedures, the conditions for the global existence and the finite blow-up of solutions to the system of equation are established with homogeneous boundary conditions.

  运用构造上下解的方法，讨论了这类方程组的齐次边界问题的整体存在和有限爆破的条件。

• 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。

• because there are some new consistency conditions arised in the moving of solutions of the systems, it is difficult that the global existence and uniqueness of solutions is satisfied.

  由于这类系统的解在运动过程中会出现新的相容性条件，故解的整体存在唯一性难以满足。

• 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。

• 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準则。

• 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準则。关于弱解的唯一性和古典解的整体存在性尚未得到证明。

• the global existence and the finite time blow up of solution to degenerate parabolic systems;

  利用抛物正则化方法证明了双重退化抛物型方程重整化解的存在惟一性。

• one is the existence of a kind of strong solution, and the other is the global existence and large time behavior of smooth solution.

  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。

• in this paper, the global existence of the initial-boundary-value problem for a strongly coupled parabolic system is considered by the semigroup method;

  本文利用半群方法证明了一类强耦合非线性抛物型方程组初边值问题的整体解存在性；

• 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。

• in the non-autonomous perturbation case, some sufficient conditions for the global existence of periodic solutions of this system are obtained by using the theorem of coincidence degree.

  然后，在非自治扰动下，利用迭合度理论讨论了该方程组解的存在性，并得到了该方程组周期解全局存在的充分条件。

• a set of easily verifiable sufficient conditions is derived for the global existence of periodic solutions with strictly positive components by using the method of coincidence degree.

  通过运用拓扑度方法，获得了该系统至少存在一组可易验证的严格正周期解的充分条件。

• in this paper, we deal with the global existence and uniqueness of smooth solution to the modified anisotropic heisenberg spin chain.

  本文研究一类修正的海森堡旋转链方程组整体光滑解的存在性和唯一性。