利用锥映射的不动点指数定理，研究了一类非线性奇异边值问题多个正解的存在性问题。
This paper discusses the existence of multiple positive solutions of a class of nonlinear singular boundary value problems by means of the fixed point index Theorem on cones.
通过使用不动点指数定理，我们得到了问题(3.1.1)正解的存在性以及问题(3.1.2)正解的存在区间。
We obtain the existence of positive solutions of BVP (3.1.1) and the existence interval of positive solutions of BVP (3.1.2), by using fixed point index theorems.
建立了以有限群的极大子群的指数复合刻划可解性的两个新定理。
Two new theorems on the solvability of finite groups are proved by means of index complex of maximal subgroups.
在此平衡点附近建立中心流形定理，并证明中心流形有空间指数衰减性。
We give a center manifold theorem in the neighbourhood of the equilibrium point, and prove that the center manifold is exponentially decaying.
本文论证了伯塞洛脱系统存在一个对应态定理，并给出了该系统的临界指数。
In this paper, it has been proved that there is a corresponding state theorem for Berthelot system and the critical index of above system have also been calculated.
通过利用不动点指数理论及一个新的三解定理，得到了边值问题多个正解的存在性。
By using the fixed point theory and a new three-solution theorems, the existence of multiple solutions of the boundary value problem was obtained.
得到一个关于脉冲微分方程弱指数渐近稳定的判定定理。
The sufficient conditions of the weak exponential asymptotic stability of impulsive differential system are obtained.
利用指数对应定理，将关于商映射的一个定理推广到上诱导拓扑的情形，并给出其在代数拓扑学中的若干应用。
Used the theorem of exponential correspondence, a theorem on quotient map was generalized to the cases of coinduced topology, and some applications of it in algebraic topology were also discussed.
并且由此定理获得该类网络全局指数稳定的几个判据。
Some new criteria on globally exponential stability of the networks are obtained.
同时为进一步提高服务器的运算速度，在服务器端利用中国剩余定理(CRT)对RSA解密算法中的模指数进行降幂处理。
Meanwhile, in order to improve the computation speed of the server, the Chinese Remainder Theorem (CRT) is used in RSA decryption algorithm.
方法在因子分解定理的基础上提出了一个判别指数型分布族的简单方法。
Methods A simple method for distinguishing of exponential distribution family is obtained based on factorization theorem.
得到了分[数]指数空间一算子的强连续性和最优控制的存在性定理。
We give strong continuity of an operator connected with fractional power space and obtain existence of optimal controls.
文中研究了灰指数律的性质，齐次与非齐次指数律和原点分布、正分布、负分布的指数律，获得了有关的定理为灰色预测建模的优化信息处理，提供了依据与基础。
By defining the distribution of the origin and the positive and negative distribution, theorems are obtained that make it possible to optimize data processing for grey forecasting modelling.
通过李亚普诺夫稳定理论证明跟踪误差是指数收敛的，仿真结果验证了这种方法的有效性。
It is showed by the Lyapunov stability theorem that the tracking errors converge exponentially. The simulation results illustrate the efficiency of this method.
通过李亚普诺夫稳定理论证明跟踪误差是指数收敛的，仿真结果验证了这种方法的有效性。
It is showed by the Lyapunov stability theorem that the tracking errors converge exponentially. The simulation results illustrate the efficiency of this method.
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