1) asymptotically almost periodic function
渐近概周期函数
1.
Some qualities on asymptotically almost periodic function;
渐近概周期函数的几个结果
2.
But except for almost periodic function, others such as asymptotically almost periodic function, weakly almost periodic function and pseudo almost periodic function, theories of relative compactness for those functions are not established.
但是除了概周期函数,其它的例如渐近概周期函数,弱概周期函数,伪概周期函数等概周期型函数集的列紧性理论并未建立,这样使得在某些微分方程的概周期型解存在性理论研究过程中,不动点定理的运用受到了很大的限制,基本都要归结为构造压缩映射。
2) asymptotically almost periodic functions
渐近概周期函数
1.
Some results for asymptotically almost periodic functions and asymptotically almost periodic sequences;
渐近概周期函数和渐近概周期序列的一些结果
3) asymptotically periodic functions
渐近周期函数
1.
Some properties of asymptotically periodic functions and asymptotically periodic sequences;
渐近周期函数和渐近周期序列的一些性质
4) asymptotically almost periodic
渐近概周期
1.
In recent years, many scholars had studied the existence of the solution of Logistic equation, and this equation had been discussed when the two important indexes r and k are periodic, almost periodic or asymptotically almost periodic functions (Reference were searched in [1~7]).
在介绍了概周期函数以及渐近概周期函数等相关概念及前人主要研究成果之后,本文对Logistic方程解的存在性及解的性质进行了研究,给出的主要结果如下: 1在魏凤英、王克等人研究结果的基础上给出了下列Logistic微分方程的渐近概周期解,并且证明了此解是一致稳定的。
5) asymptotically almost periodic solutions
渐近概周期解
1.
In this paper,we discuss the existence of the existence of asymptotically almost periodic solutions of second-order neutral differential equations with piecewise constant argument by asymptotically almost periodic sequence solutions of difference equations.
通过构造差分方程的渐近概周期序列解,研究了二阶中立型逐段常变量微分方程渐近概周期解的存在性。
2.
Particularly,we discuss the necessary and sufficient conditions for the existence and uniqueness of asymptotically almost periodic solutions for the first-order differential equation u′+▽Φ(u)=h(t),where▽Φdenotes the gradi- ent of the convex functionφon R~N.
对于一阶微分系统u′+F(u)=h(t),其中F为R~n上的严格单调算子,本文给出了其渐近概周期解存在和唯一的一个充分条件和一个必要条件。
3.
We present existence theorem in C(R+) for asymptotically almost periodic solutions of second-order equations with gradient operators by means of the properties of asymptotically almost periodic functions.
利用渐近概周期函数的性质得到带梯度算子二阶方程的渐近概周期解在C(R+)中的存在性,同时利用迭代法和线性常微分方程的概周期解的存在性和唯一性,得到R上此方程渐近概周期解的存在和唯一性。
6) asymptotically almost periodic sequence
渐近概周期序列
1.
This paper discusses x′(t)=ax(t)+bx()+F(t,x)the existence of asymptotically almost periodic solutions of some differential equations with piecewise constant argument using asymptotically almost periodic sequence solution of difference equation.
通过构造差分方程的渐近概周期序列解,讨论了具有逐段常变量的微分方程x′(t)=ax(t)+bx([t])+F(t,x)的渐近概周期解的存在性。
2.
In this paper,we discuss the existence of the existence of asymptotically almost periodic solutions of second-order neutral differential equations with piecewise constant argument by asymptotically almost periodic sequence solutions of difference equations.
通过构造差分方程的渐近概周期序列解,研究了二阶中立型逐段常变量微分方程渐近概周期解的存在性。
3.
In this paper,the existence of asymptotically almost periodic solutions of neutral delay differential equations with piecewise constant argument by asymptotically almost periodic sequence solutions of difference equations is discussed.
通过构造差分方程的渐近概周期序列解,研究了具逐段常变量中立型时滞微分方程的渐近概周期解的存在性。
补充资料：殆周期函数的Fourier指数
殆周期函数的Fourier指数
ourier indices of an almost-periodic function
殆周期函数的F以时‘指数汗议川‘白川如留ofan目-。扣成一碑欢浦c肠.团晚.;巾冲I.e uolca3aT姗uo盯.此户叭叭ee劝曲中yo.脚。1 对应于给定的殆周期函数f的Fou刀er级数 f(x)一艺a。e“·’中的实数又。，其中的a.是了的Four屺r系数(见殆周期函数的I议时台系数(Fou犷lercoe田d翔tsofanal-nx招t一讲比刘比血了山n);殆周期函数的F山亩已级数(Fo~~ofan吐mOSt一详‘浏Cfu叫无on”.函数f的F~指数的集合称为它的谱(sp戈tr切叮).与周期函数的情形不同，殆周期函数的谱可能有有穷的极限点，甚至还可能是处处稠密的.因此，殆周期函数的Four吮r级数的性质本质上依赖于它的谱的算术结构.E.A.E户琴田~a撰朱学贤译潘文杰校
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条