查询词典 existence conditions

By employing the approaches for upper and lower solutions and monotone iterative technique, the authors have obtained the sufficient conditions for the existence of coupled maximal solution and minimal solution.

通过上下解方法和单调迭代技术得到了边值问题存在耦合极大解β-和极小解α-的充分条件。

By use of the stretch and compression fixed point theorem of normic form in cone ,the sufficient conditions for the existence of monotone increasing positive solutions and monotone decreasing negative solutions are obtained to the boundary value problems.

运用锥拉伸与锥压缩不动点定理，分别得到了边值问题单调递增正解和单调递减负解存在的充分条件。

The main work is to give some sufficient conditions for the existence and global exponential stability of periodic solutions for PDNNs model, without assuming the smoothness, monotonicity and boundedness of the activation functions.

这里采用的主要方法仍然是Mawhin的重合度理论和Liapunov泛函的应用，并借助于一些重要的不等式和矩阵代数技术，得到更为一般并且具有很少限制的一些新的充分条件。

The first section studies general inverse of morphism with generalfactorization, and gives some necessary and sufficient conditions for their existence and expression.

第一部分我们研究了具有广义分解的态射的广义逆，得到了他们存在的充分和必要条件以及他们的表达式。

The fourth section studies general inverse of morphism sum. and obtains some necessary and sufficient conditions for their existence and expression.

第四部分我们研究了态射和的广义逆，得到了他们存在的充分和必要条件以及他们的表达式。

The second section studies general Moore-Penrose inverse of morphism with general factorization, and gives some necessary and sufficient conditions for their existence and expression.

第二部分我们研究了具有广义分解的态射的广义Moore-Penrose逆，得到了他们存在的充分和必要条件以及他们的表达式。

In Part 3 we study the mutualism system with several delays Sufficient conditions are obtained for the existence of positive periodic solutions of the system by using the theory of Mawhin coincidence degree .

第三部分考虑了两种群带多时滞的互惠系统我们利用Mawhin重合度理论，得到了系统正周期解的存在性的充分条件，推广了文[28，29]的结果，并且删去[30]的某些条件。

In Part 3 we study the mutualism system with several delaysSufficient conditions are obtained for the existence of positive periodic solutions of the system by using the theory of Mawhin coincidence degree .

第三部分考虑了两种群带多时滞的互惠系统我们利用Mawhin重合度理论，得到了系统正周期解的存在性的充分条件，推广了文[28，29]的结果，并且删去[30]的某些条件。

Firstly, for the network with arbitrary weight matrix, the conditions for the existence of cycle of length 1 and 2 are presented.

首先，对于具有任意连接权阵的网络，给出了不动点和2周期极限环存在的条件。

Are also given by constructing Lyapunov function. Finally, by applying the energy methods, Sobolev embedding theorems and bootstrap arguments, the global existence of nonnegative classical solutions to equations with homogeneous Neumann boundary value condition is proved when the space dimension is at most 5. Under certain conditions for the coefficients of the reaction functions, the convergence of the solutions is established for the system with large diffusion coefficients by constructing Lyapunov function.

的正平衡点全局渐近稳定的充分条件；最后，当空间维数不超过5时，应用能量估计、Sobolev嵌入定理和bootstrap技巧证明在齐次Neumann边值条件下非负古典解的整体存在性，并通过构造Lyapunov函数给出当反应函数的系数满足一定条件、扩散系数较大时该模型解的收敛性。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。