Chinese translation for "contraction mapping principle"
|
- 收敛映象原理
Related Translations:
- Example Sentences:
| 1. | But , if we generalize to , only using the contraction mapping principle can not guarantee the existence and uniqueness of almost periodic solution 但是,若将推广到,仅仅用压缩映象原理是无法保证上述系统存在唯一概周期解的。 | | 2. | By using the contraction mapping principle , the boundary value problems for a second order functional difference equation are investigated . existence and uniqueness results are obtained 利用压缩映照定理,研究了一个二阶泛函差分方程边值问题,得到存在和唯一性定理 | | 3. | [ 1 - 4 ] considered the almost periodic perturbation systems of the form , , by using the contraction mapping principle , some sufficient conditions are obtained for the existence and uniqueness of almost periodic solution and bounded solution of these systems 文献[ 1 - 4 ]考虑了扰动系统, ,利用压缩映象原理,得到了上述系统存在唯一概周期解和有界解的一些充分条件。 | | 4. | The thesis is composed of two chapters . in chapter 1 , we consider the almost periodic perturbation systems of the form by using the roughness theory of exponential dichotomies and the contraction mapping principle , some sufficient conditions are obtained for the existence and uniqueness of almost periodic solution and bounded solution of the above systems . our results generalize those ones of [ 3 , 4 , 7 , 8 , 9 ] 第一章考虑了两类概周期扰动系统, ,利用指数型二分性的粗糙度理论和压缩映象原理,得到了上述系统存在唯一概周期解和有界解的一些充分条件,推广了[ 3 , 4 , 7 , 8 , 9 ]的结果。 | | 5. | We , in chapter 4 , comprehensively discuss the dynamics of discrete chaotic neural networks , including f the existence of fixed points , the stable , unstable dynamics of the fixed point , the saddle - node and period doubling bifurcations in singie neuron model , and chaotic dynamics of the networks . the proofs and de - ductions involve schauder fixed point principle , constructions of lyapunov func - tions , bifurcation theory , contraction map principle , and anti - integrable limit method 在本文的第四章中,我们首先介绍了离散混饨神经元、神经网络模型由来与具体的数学模型,依次给出了该离散神经网络的中不动点存在性与惟一性的分析:稳定性与不稳定性的分析;神经元模型的分枝分析;神经网络中马罗陀意义下混3屯动力学的分析 | | 6. | We reduce the cauchy problem of equations ( 8 ) , ( 9 ) to an equivalent integral equations by the fundamental solution of a second order partial differential equation . then using the contraction mapping principle and the extension theorem of the solution we prove the existence and uniqueness of the global generalized solutions and the existence and uniqness of the global classical solution 先是通过一个二阶偏微分方程的基本解,把imbq型方程组归) , p )的初值问题转化为等价的积分方程组,然后利用压缩映射原理、解的延拓定理等证明了归) ,问的初值问题的整体广义解和整体古典解的存在唯一性 | | 7. | This paper deals with the existence of almost periodic solutions of linear impulsive delay differential equations as follows , ( the equation is abbreviated ) by using the fixed point theorem of contraction mapping principle we present a set of sufficient conditions to ensure the existence and uniqueness of almost periodic solutions of impulsive delay differential equations in some closed convex set 摘要基于压缩不动点原理,考虑一类具有脉冲效应的时滞微分方程(方程式略)概周期解的存在性问题,在一定条件下获得了系统存在唯一概周期的一组充分条件。 | | 8. | In the third chapter , we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation . in the second chapter , we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1 , a2 , a3 > 0 are constants , ( s ) , f ( s0 , s1 , s2 s3 , s4 ) are given nonlin - ear functions , u0 ( x ) and , u1 ( x ) are given initial functions . for this purpose , by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation , then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation 本文分三章,第一章为引言;第二章研究一类非线性高阶波动方程的初边值问题的整体古典解的存在性和唯一性,以及古典解的爆破;第三章研究此方程的周期边界问题和cauchy问题的整体广义解和整体古典解的存在性和唯一性,具体情况如下:在第二章中,我们研究一类非线性高阶波动方程的如下初边值问题:或或其中a _ 1 , a _ 2 , a _ 3 0为常数, ( s ) , ( s _ 0 , s _ 1 , s _ 2 , s _ 3 , s _ 4 , )为已知的非线性函数, u _ 0 ( x ) , u _ 1 , ( x )为已知的初始函数,为此,我们先用四阶常微分方程边值问题的green函数把上述问题转化为等价的积分方程,然后利用压缩映射原理证明此积分方程局部古典解的存在性和唯一性,又用解的延拓法证明上述问题整体古典解的存在性和唯一性,主要结果有:定理1设u _ 0 ( x ) , u _ 1 ( x ) c ~ 4 [ 0 , 1 ]且满足边界条件( 2 ) ,若以下条件满足:其中a , b月0为常数, w |
- Similar Words:
- "contraction lines" Chinese translation, "contraction loss" Chinese translation, "contraction losses" Chinese translation, "contraction map" Chinese translation, "contraction mapping" Chinese translation, "contraction measure" Chinese translation, "contraction mechanism" Chinese translation, "contraction muscular ischémique" Chinese translation, "contraction of abdominal muscle" Chinese translation, "contraction of area" Chinese translation
|
|
|