1) global existence theorem
非局部存在性定理
1.
By means of the global existence theorems of the initial problems of ODEs in the open unbounded region,the three global existence theorems of the initial problems of ODEs in half closed unbounded region G ′ are given.
以无界开区域G内ODE的初值问题解的非局部存在性定理为基础 ,在半闭无界域G′上证明了ODE的初值问题解的三个非局部存在性定理 。
2) local existence
局部存在性
1.
This paper considers the local existence and the blowing up of solutions to the Cauchy problem (IVP) for matrix nonlinear Schrdinger equations of the form B t=i(ΔB+2BB *B) in H 1(R n) with n≥2.
考虑矩阵非线性薛定谔方程初值问题解的局部存在性及解的爆破问题 ,并且给出了在 H1( Rn)中方程 Bt=i(ΔB+ 2 BB* B) ( n≥ 2 )的解于有限时间内爆破的充分条件 。
2.
We investigate a biological model for chemotaxis is as follows:We study the local existence of the solution in different space and the global existence of the solution in different cases for the above system.
我们研究的趋化性(Chemotaxis)生物模型为： 我们研究了这个方程组在不同空间下解的局部存在性和不同情形下解的整体存在性。
3.
We will discuss the local existence , blow-up criteria and we will also obtain .
我们主要研究了此方程组古典解的局部存在性，爆破准则以及通过粘性消失方法来研究如上方程组的局部存在性和收敛率问题，主要结论有： (1)解的局部存在性 利用光滑子对方程组进行正则化，从而得到原方程组的逼近解。
3) existence of local solutions
局部解存在性
1.
l)The existence of local solutionsIn the part of the existence of local solutions,we investigate the intial boundary value problems for the more general quasilinear system:We consider the existence of local solutions of the system (2) when it may be a cross-diffu.
我们研究的散度型方程组为： 我们研究了方程组(1)的初边值问题解的局部解存在性和整体解存在性。
5) local existence
局部存在
1.
We prove the local existence of the solution to systems by using regularization skill, and obtain the sufficient condition of the global existence and the finite time blow-up of solution to systems by using upper-lower solution method.
本文研究了具有指数反应项或边界流以及它们之间相互耦合的退化抛物型方程组解的性质,首先利用正则化方法,证明了解的局部存在性与惟一性,然后利用上下解方法,得到了解的整体存在及有限时刻爆破的充分条件。
6) existence theorem
存在性定理
1.
In this paper,to use the section theorem in the field of nonlinear analysis,we prove a new existence theorem of weight Nash equilibrium.
利用非线性分析中的截口定理，证明了一个新的权Ｎａｓｈ平衡的存在性定理。
2.
After studying inverse problems in matrix theory as wellas inverse eigenvalue promems ofsymmetric tridiagonal matrices,the author has constructively proved an existence theorem ofsolutions to the inverse problems of generalized eigenvalue of symmetric tridiagonal matrices.
在综合分析矩阵论中某些反问题和对称三对角矩阵特征值反问题的基础上，提出对称三对角矩阵的广义特征值反问题解的存在性定理，并给予证明。
3.
By making use of an extension Krasnosel′skii fixed point theorem in cones,it is established that existence theorem of at least one positive solution for a class of nonlinear second-order m-point boundary value problems with derivative(1.
2)建立了至少一个正解的存在性定理,而且说明对边值条件(1。
补充资料：连续性与非连续性(见间断性与不间断性)
连续性与非连续性(见间断性与不间断性)
continuity and discontinuity
11an父ux泊g四f“山。麻以角g、.连续性与非连续性(c。nt，n琳t:nuity一)_见间断性与不间断性。and diseo红ti-
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条