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文章基本信息

  • 标题:Schauder’s fixed-point theorem in approximate controllability problems
  • 本地全文:下载
  • 作者:Artur Babiarz ; Jerzy Klamka ; Michał Niezabitowski
  • 期刊名称:International Journal of Applied Mathematics and Computer Science
  • 电子版ISSN:2083-8492
  • 出版年度:2016
  • 卷号:26
  • 期号:2
  • DOI:10.1515/amcs-2016-0018
  • 出版社:De Gruyter Open
  • 摘要:The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces. The presented investigation focuses on obtaining sufficient conditions for approximate controllability of various types of dynamic systems using Schauder’s fixed-point theorem. We describe the results of approximate controllability for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions, impulsive neutral functional evolution integro-differential systems, stochastic impulsive systems with control-dependent coefficients, nonlinear impulsive differential systems, and evolution systems with nonlocal conditions and semilinear evolution equation
  • 关键词:approximate controllability; Banach space; Hilbert space; Schauder’s fixed-point theorem; infinite-dimensional space
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