Object's details: Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups

Provider:Akademicka Platforma Czasopism

Description

Title:
Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups
Creator:
Hasil, Petr;
Veselý, Michal
Description:
We study the behaviour of solutions of limit periodic difference systems over (infinite) fields with absolute values. The considered systems are described by the coefficient matrices that belong to commutative groups whose boundedness is not required. In particular, we are interested in special systems with solutions which vanish at infinity or which are not asymptotically almost periodic. We obtain a transparent condition on the matrix groups which ensures that the special systems form a dense subset in the space of all considered systems, i.e. that, in any neighbourhood of any considered limit periodic system, there exists asystem which have non-asymptotically almost periodic or vanishing solutions. The presented results improve and extend known ones.
Object availability:
free access
Rights:
Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
Date:
2019.07.27
Type:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Language:
English
Source:
Topological Methods in Nonlinear Analysis; Vol 54, No 2 (December 2019); 515 - 535;
1230-3429
Publisher:
Nicolaus Copernicus University in Toruń
Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.051/18047 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.051/18048
Subject:
Limit periodicity;
almost periodicity;
limit periodic sequences;
asymptotically almost periodic solutions;
difference equations;
12H10;
39A06;
39A24;
42A75;
43A60
Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.051
Data provider:
Akademicka Platforma Czasopism

Similar objects

Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups

Creator:Hasil, Petr | Veselý, Michal

Date:2019.07.27

Type:other

Remarks on some limits appearing in the theory of almost periodic functions

Creator:Kasprzak, Kosma

Date:2019.12.01

Type:other

Coincidence degree methods in almost periodic differential equations

Creator:Qi, Liangping | Yuan, Rong

Date:2017.08.19

Type:other

Uniform stability for fractional Cauchy problems and applications

Creator:Abadias, Luciano | Alvarez, Edgardo

Date:2018.11.24

Type:other

Weakly almost periodic functions invariant means and fixed point properties in locally convex topological vector spaces

Creator:

Date:2022.08.31

Type:other

Corrigendum and contribution to "Weakly almost periodic functions invariant means and fixed point properties in locally convex topological vector spaces" (Topol. Methods Nonlinear Anal. 60 (2022), no.1, 135-152)

Creator:Salame, Khadime

Date:2024.12.28

Type:other

Almost-periodicity problem as a fixed-point problem for evolution inclusions

Creator:Andres, Jan | Bersani, Alberto M.

Date:2001.12.01

Type:other

On some applications of convolution to linear differential equations with Levitan almost periodic coefficients

Creator:Nawrocki, Adam

Date:2017.09.16

Type:other

Federacja Bibliotek Cyfrowych

Object's details: Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups

Description

Similar objects