找回密码
 To register

QQ登录

只需一步,快速开始

扫一扫,访问微社区

Titlebook: Semidynamical Systems in Infinite Dimensional Spaces; Stephen H. Saperstone Book 1981 Springer-Verlag New York Inc. 1981 Hilbert space.Sob

[复制链接]
查看: 43868|回复: 43
发表于 2025-3-21 18:12:09 | 显示全部楼层 |阅读模式
书目名称Semidynamical Systems in Infinite Dimensional Spaces
编辑Stephen H. Saperstone
视频video
丛书名称Applied Mathematical Sciences
图书封面Titlebook: Semidynamical Systems in Infinite Dimensional Spaces;  Stephen H. Saperstone Book 1981 Springer-Verlag New York Inc. 1981 Hilbert space.Sob
描述Where do solutions go, and how do they behave en route? These are two of the major questions addressed by the qualita­ tive theory of differential equations. The purpose of this book is to answer these questions for certain classes of equa­ tions by recourse to the framework of semidynamical systems (or topological dynamics as it is sometimes called). This approach makes it possible to treat a seemingly broad range of equations from nonautonomous ordinary differential equa­ tions and partial differential equations to stochastic differ­ ential equations. The methods are not limited to the examples presented here, though. The basic idea is this: Embed some representation of the solutions of the equation (and perhaps the equation itself) in an appropriate function space. This space serves as the phase space for the semidynamical system. The phase map must be chosen so as to generate solutions to the equation from an initial value. In most instances it is necessary to provide a "weak" topology on the phase space. Typically the space is infinite dimensional. These considerations motivate the requirement to study semidynamical systems in non locally compact spaces. Our objective here is
出版日期Book 1981
关键词Hilbert space; Sobolev space; Spaces; Systems; Topologische Dynamik; ordinary differential equation; parti
版次1
doihttps://doi.org/10.1007/978-1-4612-5977-0
isbn_softcover978-0-387-90643-0
isbn_ebook978-1-4612-5977-0Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer-Verlag New York Inc. 1981
The information of publication is updating

书目名称Semidynamical Systems in Infinite Dimensional Spaces影响因子(影响力)




书目名称Semidynamical Systems in Infinite Dimensional Spaces影响因子(影响力)学科排名




书目名称Semidynamical Systems in Infinite Dimensional Spaces网络公开度




书目名称Semidynamical Systems in Infinite Dimensional Spaces网络公开度学科排名




书目名称Semidynamical Systems in Infinite Dimensional Spaces被引频次




书目名称Semidynamical Systems in Infinite Dimensional Spaces被引频次学科排名




书目名称Semidynamical Systems in Infinite Dimensional Spaces年度引用




书目名称Semidynamical Systems in Infinite Dimensional Spaces年度引用学科排名




书目名称Semidynamical Systems in Infinite Dimensional Spaces读者反馈




书目名称Semidynamical Systems in Infinite Dimensional Spaces读者反馈学科排名




单选投票, 共有 0 人参与投票
 

0票 0%

Perfect with Aesthetics

 

0票 0%

Better Implies Difficulty

 

0票 0%

Good and Satisfactory

 

0票 0%

Adverse Performance

 

0票 0%

Disdainful Garbage

您所在的用户组没有投票权限
发表于 2025-3-21 23:31:45 | 显示全部楼层
发表于 2025-3-22 01:20:35 | 显示全部楼层
Nonautonomous Ordinary Differential Equations,. provided f: W → IR. is continuous on the open subset W ⊂ IR. and the solutions of Equation (1.1) through any point (x.,t.) ∈ W × IR are uniquely defined and remain in W for all time. In fact, if Φ(x.;t) denotes the solution of Equation (1.1) through (x.,0) evaluated at time t ∈ IR., it can be veri
发表于 2025-3-22 06:22:22 | 显示全部楼层
发表于 2025-3-22 11:11:06 | 显示全部楼层
Functional Differential Equations, the solution. Numerous physical, economic, biological, and social systems, though, exhibit hereditary dependence. That is, the future state of the system depends not only upon the present state, but also upon past states. Models of such systems must take into account this hereditary effect. We illu
发表于 2025-3-22 16:24:57 | 显示全部楼层
Weak Semidynamical Systems and Processes,ontinuity axiom (Definition 2.1(iii) of Chapter I); namely, assume that π(x,t) is only continuous in x ∈ X. In particular, we still obtain weak in-variance of compact positive limit sets. In addition, if the continuity in x is uniform with respect to t ∈ IR., then (X,π) extends to a weak dynamical s
发表于 2025-3-22 20:43:08 | 显示全部楼层
Weak Semidynamical Systems and Processes,ystem on the positive limit sets. Moreover, the positive limit sets will then be minimal with respect to this flow. Finally, we will still be able to show, as in Chapter III, that the positive limit sets are equi-almost periodic.
发表于 2025-3-22 22:45:33 | 显示全部楼层
Semidynamical Systems in Banach Space,u = 0 in terms of the operator A. The classical approach was to establish the existence, uniqueness, and continuous dependence of the solutions of the particular partial differential equation, for example, and then demonstrate that the solutions generate a semigroup. This was essentially the approach we also took in Chapter IV.
发表于 2025-3-23 05:06:32 | 显示全部楼层
0066-5452 ential equations. The purpose of this book is to answer these questions for certain classes of equa­ tions by recourse to the framework of semidynamical systems (or topological dynamics as it is sometimes called). This approach makes it possible to treat a seemingly broad range of equations from non
发表于 2025-3-23 05:43:44 | 显示全部楼层
 关于派博传思  派博传思旗下网站  友情链接
派博传思介绍 公司地理位置 论文服务流程 影响因子官网 SITEMAP 大讲堂 北京大学 Oxford Uni. Harvard Uni.
发展历史沿革 期刊点评 投稿经验总结 SCIENCEGARD IMPACTFACTOR 派博系数 清华大学 Yale Uni. Stanford Uni.
|Archiver|手机版|小黑屋| 派博传思国际 ( 京公网安备110108008328) GMT+8, 2025-5-21 00:29
Copyright © 2001-2015 派博传思   京公网安备110108008328 版权所有 All rights reserved
快速回复 返回顶部 返回列表