Schauder’s fixed-point theorem in approximate controllability problems

Artur Babiarz; Jerzy Klamka; Michał Niezabitowski

doi:10.1515/amcs-2016-0018

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Schauder’s fixed-point theorem in approximate controllability problems

International Journal of Applied Mathematics and Computer Science

Volume 26 (2016): Issue 2 (June 2016)

By: Artur Babiarz, Jerzy Klamka and Michał Niezabitowski

Open Access

|Jul 2016

Abstract

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.

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Articles in this issue

DOI: https://doi.org/10.1515/amcs-2016-0018 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 263 - 275

Submitted on: Sep 14, 2015

Accepted on: Jan 29, 2016

Published on: Jul 2, 2016

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

approximate controllability,

Banach space,

Hilbert space,

Schauder’s fixed-point theorem,

infinite-dimensional space.

Related subjects:

Mathematics,

Applied mathematics

© 2016 Artur Babiarz, Jerzy Klamka, Michał Niezabitowski, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 26 (2016): Issue 2 (June 2016)