Ivanov's Theorem for Admissible Pairs Applicable to Impulsive Differential Equations and Inclusions on Tori

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73602185" target="_blank" >RIV/61989592:15310/20:73602185 - isvavai.cz</a>

Result on the web

<a href="https://www.mdpi.com/2227-7390/8/9/1602/htm" target="_blank" >https://www.mdpi.com/2227-7390/8/9/1602/htm</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/math8091602" target="_blank" >10.3390/math8091602</a>

Result language

angličtina

Original language name

Ivanov's Theorem for Admissible Pairs Applicable to Impulsive Differential Equations and Inclusions on Tori

Original language description

The main aim of this article is two-fold: (i) to generalize into a multivalued setting the classical Ivanov theorem about the lower estimate of a topological entropy in terms of the asymptotic Nielsen numbers, and (ii) to apply the related inequality for admissible pairs to impulsive differential equations and inclusions on tori. In case of a positive topological entropy, the obtained result can be regarded as a nontrivial contribution to deterministic chaos for multivalued impulsive dynamics.

Czech name

—

Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2020

Confidentiality

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

Name of the periodical

Mathematics

ISSN

2227-7390

e-ISSN

—

Volume of the periodical

8

Issue of the periodical within the volume

9

Country of publishing house

CH - SWITZERLAND

Number of pages

14

Pages from-to

"1602-1"-"1602-14"

UT code for WoS article

000580758800001

EID of the result in the Scopus database

2-s2.0-85091357609