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。
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。
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。
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。
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。
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。
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。
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