再利用泛函的临界点理论，得到了方程具有周期解的充分条件。
Some sufficient conditions for the existence of periodic solutions of the equation are obtained by using the theory of critical point in functional.
通过使用临界点理论中的极大极小方法获得了两个新的存在性定理。
Two new existence theorems are obtained by the minimax methods in critical point theory.
本文利用临界点理论，建立了一类离散哈密顿系统存在多个周期解的一些充分条件。
By using critical point theory, we obtain some sufficient conditions for the existence of multiple periodic solutions to a discrete Hamiltonian system.
利用临界点理论，研究了一类含有渐近线性项和奇异项的半线性椭圆方程的边值问题。
According to the critical point theory, a class of problems of elliptic boundary value with an asymptotically linear term and singular term is studied.
用临界点理论中的极小极大方法得到了次线性椭圆方程Neumann问题多重解的存在性。
The existence of multiple solutions is obtained for Neumann problem of sublinear elliptic equations by the minimax methods in the critical point theory.
运用临界点理论中的极小、极大方法得到一类超二次哈密顿系统的周期解的存在性的存在性定理。
Some solvability conditions of periodic solutions are obtained for a class of first order(superquadratic) non-autonomous Hamiltonian systems in light of the minimax methods of critical point theory.
在第一章中，我们主要利用强单调映象原理和临界点理论对一类非线性四阶两点边值问题进行了讨论。
In chapter I, we mainly use the strongly monotone operator principle and the critical point theory to discuss a kind of fourth-order two-point boundary value problem.
应用临界点理论，获得了一类离散广义Emden - Fowler方程边值问题存在多个解的条件。
By using critical point theory, we obtain some conditions for the existence of multiple solutions on boundary value problems of a discrete generalized Emden-Fowler equation.
针对分区间检测法临界点处的跳跃问题，利用模糊神经网络理论进行了探讨，基本解决了临界点处的跳跃问题。
To overcome the problem of the angle's jumping on some critical points, the paper discussed it by using fuzzy neural network theory and solved it basically.
最后对网络弹性进行了理论分析，给出了网络在出现最大集团临界点之前的平均集团大小的公式解。
Finally, the network resilience was analyzed theoretically, and a closed-form solution for average size of clusters was reached before the largest cluster of network appeared.
最后对网络弹性进行了理论分析，给出了网络在出现最大集团临界点之前的平均集团大小的公式解。
Finally, the network resilience was analyzed theoretically, and a closed-form solution for average size of clusters was reached before the largest cluster of network appeared.
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