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.
@article{bwmeta1.element.bwnjournal-article-amcv26i2p263bwm,
author = {Artur Babiarz and Jerzy Klamka and Micha\l\ Niezabitowski},
title = {Schauder's fixed-point theorem in approximate controllability problems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {26},
year = {2016},
pages = {263-275},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv26i2p263bwm}
}
Artur Babiarz; Jerzy Klamka; Michał Niezabitowski. Schauder's fixed-point theorem in approximate controllability problems. International Journal of Applied Mathematics and Computer Science, Tome 26 (2016) pp. 263-275. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv26i2p263bwm/
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