查询词典 generalized almost periodic function

To our knowledge, this is the first work for the existence of periodic solutions for neutral systems by generalized Schaefer fixed point theorem of seperate contraction mapping.

第四章，讨论了两类依赖于参数的泛函微分系统，用锥上的Deimling不动点定理，证明了系统的正周期解的个数与参数的取值以及非线性项的渐近行为有关。

Then the stability of the linear complexity of the generalized self-shrinking sequences is investigated by some theories of the Galois field,in which the linear complexity of the periodic sequences obtained by either deleting or inserting one symbol and substituting small symbols within one period are discussed.

1引言伪随机序列在序列密码、扩频通信等领域有着极为广泛的应用。周期与线性复杂度的稳定性是衡量序列伪随机性质的一个重要而方便易行的指标。

The representation of sequences is very helpful for the research of their linear complexity,so this paper we first research trace representation of periodic sequences,and the trace representation of a New Generalized Cyclotomic Sequence of order two of length pq is given,then for 2~mp~n period binary sequences,where p is an odd prime and 2 is a primitive root modulo p~2,we present a relation-ship between the linear complexity and the minimum value k for which the k-error linear complexity is strictly less than the linear complexity and have the upper bound and lower bound of the value k, finally we discuss the k-error linear complexity of legendre sequences,also have the upper bound and lower bound of the value k,and discusses the situation where the linear complexity drop again for some Legendre sequences.

序列的表达形式对于其线性复杂度的研究是十分有帮助的，本文我们首先研究的是周期序列的迹表示，给出了2阶pq长度的扩展分圆序列的迹表示，然后讨论了周期为2~mp~n(m≥2)序列的线性复杂度与使得线性复杂度变小的最小的k值的关系，给出了k值的上界和下界，这里p为奇素数，2是模p~2的本原根，并通过例子讨论了其线性复杂度的稳定性，最后对Legendre序列k-错线性复杂度进行了分析，也给出了k值的上界和下界，并对某些Legendre序列讨论了线性复杂度再次下降的情况。

In the last chapter,by means of coincidence degree theory,we consider the existence of positive periodic solution for a generalized discrete prey-predator system with delay and functional responses.

在解的优先估计过程之中，运用了分析的方法，从而使得条件的验证更具可行性。

Diffractive characteristic of periodic structure objects were analyzed and generalized by the principle of the recordation and reappearance for spatial information of object by photons. Ordinary Moire effect can be regarded as the limit of the coherent Moire effect.

为拓展周期结构成像的应用领域，论文在分析了信号与系统关系的基础上，提出将扩大系统综合孔径实现超分辨成像方法延伸到亚波长段，用Talbot效应和莫尔条纹技术实现亚波长周期结构超分辨成像。

Using the generalized degree of A-proper mappings, the existence of periodic solutions for nonlinear vibration is established.

应用A-proper映象的广义拓扑度理论，对多自由度非线性振动系统周期解的存在性给出了严密的数学基础。

Biological dynamic system; Degenerate equilibrium; Generalized normal sector; Periodic solution; Bifurcation; Versal unfolding

基础科学，数学，动力系统理论生物动力系统；退化奇点；广义正常区域；周期解；分岔；普适开折

Firstly, sufficient conditions are given for permanence and global attractivity of the systems, and some results of Li Chuanrong and Lu Songjian on the periodic systems are generalized to general nonautonomous systems.

首先，我们给出了该系统持久和全局吸引的充分条件，把李传荣和卢松坚关于周期系统的有关工作推广到一般非自治系统；其次，改进了周期情形的有关结果。

InSection 2,we give several sufficient conditions for the existence of one solution,multiplesolutions and infinitely many solutions of the Sturm-Liouville bvps via the generalizedpolar coordinates.Then in Section 3,the existence of positive solutions are proved undersuperlinearity,sublinearity and many other conditions by a fixed point theorem in cones.Our results have generalized those in many articles.A detailed discussion of periodic solu-tions of a kind of functional differential equations with high-order Laplacian-like operatorcan be found in Section 4 and this subject has not been studied before.

在第二节，我们定义了一种新的坐标变换-广义极坐标，并利用它讨论了p-Laplacian算子和Laplacian-型算子的Sturm-Liouville边值问题，分别得到了存在一个解、多个解、无穷多个解的多个充分条件；第三节研究p-Laplacian算子的Sturm-Liouville边值问题正解的存在性与多重性，采用的是锥上的不动点定理，全面推广了这一方面已有的结果；对目前研究较少的高维Laplacian-型算子及带有Laplacian-型算子的泛函微分方程的周期解问题，我们在第四节做了一些研究，这也是拓扑方法的一个应用。

Insection 4.3, semi-discrete and fully discrete Fourier spectral and pseudo-spectral schemes are constructed. The convergence and stability for the schemes are proved, and the error estimates are obtained.Chapter 5, consider the damped coupled generalized nonlinear wave equations. In section 5.2, by coupled a priori estimates and Galerkin method, prove the existence and uniqueness of the global smooth solution for the periodic initial value problem and obtain the existence of global attractors.

第四章，考虑一类具耗散的广义KdV方程组的周期初值问题，在第二节中证明了整体光滑解的存在性和唯一性，得到整体吸引子；在第三节中构造了半离散和全离散的Fourier谱格式和拟谱格式，在整体光滑解存在的条件下，证明了这些格式解的收敛性，并得到了误差估计。

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。