The Existence of global solution to the sort of mixed problems of reaction equation is discussed by the method of super-and sub-solution.
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 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.
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。
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.
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。
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。
The existence of a global classical solution is proved.
我们证明了该问题存在古典整体解。
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。
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 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.
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。
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 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。
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 existence of global smooth solution.
解的整体存在性。
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。
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。
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.
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.
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。
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