Creator:

Babiarz, Artur ; Klamka, Jerzy (1944- ) ; Niezabitowski, Michał

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

Schauder`s fixed-point theorem in approximate controllability problems

Group publication title:

AMCS, Volume 26 (2016)

Subject and Keywords:

approximate controllability ; Banach space ; Hilbert space ; Schauder`s fixed-point theorem ; infinite-dimensional space

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2016

Resource Type:

artykuł

DOI:

10.1515/amcs-2016-0018

Pages:

263-275

Source:

AMCS, volume 26, number 2 (2016) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego