查询词典 existence conditions

Then we use Lebesguge s dominated convergence theorem to obtain some sufficient conditions for (2) and study the existence of a bounded positive solution.

接着，利用Lebesgue单调收敛定理给出了方程(2)振动的若干充分必要条件并且研究了正有界解的存在性。

In this thesis, we firstly introduce several class of discrete-time neural network models and the research progress of the neural networks. By Schauder fixed-point principle we prove the existence of an equilibrium (i.e. a fixed point) of a discrete-time neural network with generalized input-output function and by using the converse theorem of Lyapunov function we study the uniformly asymptotical stability of equilibrium in this discrete-time neural network with variable weight and give some sufficient conditions that guarantee the stability of it.

本文首先介绍了几类离散神经网络模型的由来及其研究概况，利用Schauder不动点原理证明了一类具有广义输入输出函数的离散神经网络模型平衡点的存在性，利用Lyapunov函数逆定理给出了这类离散神经网络模型在时变权值下的一致渐近稳定性的充分条件。

It also provided the conditions for the existence of large cores of symmetric games. It proved the equivalence relation of convex games and monotonic symmetric games.

本章还给出了对称对策的广义核心存在的条件，证明了凸对策与单调对称对策的等价关系。

Because the EPWE method is designed to derive easily the evanescent modes which can be used for the matching boundary conditions, we can get the transmittance for the semi-infinite photonic crystal. In this study, some interesting behaviors can be observed, for example, the transmittance is very sensitive to the surface we chose. The transmittance even can be almost 1 or 0 when the cutting planes of photonic crystal are different for the specific frequency. In this proposal I want to see the reason of the total reflection which seems to be conflicted with the existence of the propagation modes at that frequency and what will be happened when we consider the finite thickness case.

在EPWE 的方面，在这三年的时间里，我会尽量完成有限厚度的光子晶体的计算，因为以前主要算的是半无穷的光子晶体的计算，当中也看到了一些很有趣的行为，比方某些频率下，其穿透率与它的介面有很大的关系，因为，当光子晶体的切面不同，在特定频率下，其穿透率可以由几乎全穿透变成全反射，这里我想看看如果考虑厚度，到底会对系统有什麼影响。

Derive some new conditions on existence of eight limit cycles for a cubic system.

刘一戎。一类高次奇点与无穷远点的中心焦点理论。

This paper studies a class of cubic system with planar polynomial.We use the qualitative theory of ordinary differential equations method of analysis, reached the following conclusions of four parts: First, we analyze the quality of all critical points of the system,and draw the conditions of existence of singular integrals for the system , in front based on the analysis, using Pioncare form series method to calculate the focal value of o(0,0). Finally, we also study the behavior of critical points at infinity.

中文摘要：本文研究了一类平面三次多项式系统，我们采用常微分方程的定性理论的分析方法，得出如下四个部分结论：第一部分，分析系统所有奇点的性态，并得出系统存在奇异积分直线的条件；在前面分析的基础上，用Pioncare形式级数法，计算出了系统在奇点o(0，0)的三个焦点量；最后，研究了系统无穷远奇点的性态。

First of all, analyses of dynamical behavior of the problem under constant tensile dead load are carried out, and existence of the periodic solution of the cavity motion equation with various initial conditions is presented.

首先对给定的常值拉伸载荷作用的问题进行了动力学行为分析，并且指出了不同初始条件下的周期解的存在性。

In this paper, we study the existence of solutions for high-order ordinary differential equation systems and delay differential equations, subject to different conditions.

本文研究高阶非线性常微分方程组和高阶非线性时滞微分方程在不同的假设条件下正解的存在性和多重性。

By using the theory of linear evolution systems and Sadovskii's fixed point theorem, chapter3 deals with the existence of mid-solutions,strong solutions for the Cauchy problems of neutralabstract functional differential equations dependent on time with unbounded delay, here theright function in the equations satisfies the Caratheodory conditions.

第三章利用线性发展系统理论和Sadovskii不动点定理研究了具有无穷时滞中立型时变泛函微分方程Cauchy问题mild-解、强解的存在性。其中方程的右端函数满足Caratheodory条件。

In chapter 4, we investigated the existence and asymptotic behaviors of periodic solutions and steady solutions of a type of reaction diffusion equation under different conditions respectively.

在第四章中，我们分别讨论了一类时滞反应扩散方程在有时滞和无时滞的情况下其平衡态解与周期解的存在性，并得到了解的渐近行为的一些结论。

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。