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

Instytucja dostarczająca:Akademicka Platforma Czasopism

Opis

Tytuł:
Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups
Twórca:
Hasil, Petr;
Veselý, Michal
Opis:
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.
Dostępność obiektu:
Dostęp otwarty
Prawa:
Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
Data:
2019.07.27
Typ:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Język:
angielski
Źródło:
Topological Methods in Nonlinear Analysis; Vol 54, No 2 (December 2019); 515 - 535;
1230-3429
Wydawca:
Nicolaus Copernicus University in Toruń
Relacja: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.051/18047 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.051/18048
Temat i słowa kluczowe:
Limit periodicity;
almost periodicity;
limit periodic sequences;
asymptotically almost periodic solutions;
difference equations;
12H10;
39A06;
39A24;
42A75;
43A60
Identyfikator: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.051
Dostawca danych:
Akademicka Platforma Czasopism

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