Parametric topological entropy and differential equations with time-dependent impulses II: Multivalued case

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F23%3A73619698" target="_blank" >RIV/61989592:15310/23:73619698 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0022039623003698" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022039623003698</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jde.2023.05.030" target="_blank" >10.1016/j.jde.2023.05.030</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Parametric topological entropy and differential equations with time-dependent impulses II: Multivalued case

Popis výsledku v původním jazyce

The main aim of this article is to establish an effective criterion for a positive parametric topological entropy to differential equations with multivalued nonautonomous impulses on tori. The crucial tool for this goal consists in developing an appropriate Ivanov-like inequality for the lower estimate of a new kind of entropy by means of the logarithm of asymptotic Nielsen numbers for the compositions of a one-parameter family of multivalued admissible maps. This inequality is then applied to impulsive differential equations on tori via the associated Poincaré translation operators along their trajectories. The obtained results generalize in a significant way those in our recent papers, especially in the one with the same title (whence the indication by II), into a multivalued setting. Another nontrivial generalization can be regarded with respect to their simple reduction into a “nonparametric” case.

Název v anglickém jazyce

Parametric topological entropy and differential equations with time-dependent impulses II: Multivalued case

Popis výsledku anglicky

The main aim of this article is to establish an effective criterion for a positive parametric topological entropy to differential equations with multivalued nonautonomous impulses on tori. The crucial tool for this goal consists in developing an appropriate Ivanov-like inequality for the lower estimate of a new kind of entropy by means of the logarithm of asymptotic Nielsen numbers for the compositions of a one-parameter family of multivalued admissible maps. This inequality is then applied to impulsive differential equations on tori via the associated Poincaré translation operators along their trajectories. The obtained results generalize in a significant way those in our recent papers, especially in the one with the same title (whence the indication by II), into a multivalued setting. Another nontrivial generalization can be regarded with respect to their simple reduction into a “nonparametric” case.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

JOURNAL OF DIFFERENTIAL EQUATIONS

ISSN

0022-0396

e-ISSN

1090-2732

Svazek periodika

367

Číslo periodika v rámci svazku

SEP

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

21

Strana od-do

783-803

Kód UT WoS článku

001012285400001

EID výsledku v databázi Scopus

2-s2.0-85161027240