Coexistence of Subharmonic Periodic Solutions Having Various Periods of Differential Inclusions on the Circle with Admissible Impulses of Degrees D = −1, 0, 1

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73594945" target="_blank" >RIV/61989592:15310/19:73594945 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007%2Fs10884-019-09777-8" target="_blank" >https://link.springer.com/article/10.1007%2Fs10884-019-09777-8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10884-019-09777-8" target="_blank" >10.1007/s10884-019-09777-8</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Coexistence of Subharmonic Periodic Solutions Having Various Periods of Differential Inclusions on the Circle with Admissible Impulses of Degrees D = −1, 0, 1

Popis výsledku v původním jazyce

Our new Sharkovsky-type cycle coexistence theorems for multivalued admissible maps on the circle, whose degrees equal d = −1, 0, 1, are derived and applied to impulsive differential inclusions. Although the obtained theorems for admissiblemaps of degrees d = −1, 0 can be formulated “only” in terms of irreducible periodic orbits of coincidences, they are sufficient for effective applications. The most delicate case for d = 1 demands a different approach, because the maps can be fixed point free. On the other hand, unlike for degrees d = −1, 0, the results for admissible maps of degree 1 can be also exclusively applied to differential inclusions without impulses.

Název v anglickém jazyce

Coexistence of Subharmonic Periodic Solutions Having Various Periods of Differential Inclusions on the Circle with Admissible Impulses of Degrees D = −1, 0, 1

Popis výsledku anglicky

Our new Sharkovsky-type cycle coexistence theorems for multivalued admissible maps on the circle, whose degrees equal d = −1, 0, 1, are derived and applied to impulsive differential inclusions. Although the obtained theorems for admissiblemaps of degrees d = −1, 0 can be formulated “only” in terms of irreducible periodic orbits of coincidences, they are sufficient for effective applications. The most delicate case for d = 1 demands a different approach, because the maps can be fixed point free. On the other hand, unlike for degrees d = −1, 0, the results for admissible maps of degree 1 can be also exclusively applied to differential inclusions without impulses.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Dynamics and Differential Equations

ISSN

1040-7294

e-ISSN

—

Svazek periodika

2019

Číslo periodika v rámci svazku

20 June 2019

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

17

Strana od-do

1-17

Kód UT WoS článku

000587140200005

EID výsledku v databázi Scopus

2-s2.0-85068183726