Bound Sets Approach to Impulsive Floquet Problems for Vector Second‑Order Diferential Inclusions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F26867184%3A_____%2F22%3AN0000005" target="_blank" >RIV/26867184:_____/22:N0000005 - isvavai.cz</a>

Result on the web

<a href="https://link.springer.com/article/10.1007/s12591-021-00586-4" target="_blank" >https://link.springer.com/article/10.1007/s12591-021-00586-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s12591-021-00586-4" target="_blank" >10.1007/s12591-021-00586-4</a>

Result language

angličtina

Original language name

Bound Sets Approach to Impulsive Floquet Problems for Vector Second‑Order Diferential Inclusions

Original language description

In this paper, the existence and the localization of a solution of an impulsive vector multivalued second-order Floquet boundary value problem are investigated. The method used in the paper is based on the combination of a fixed point index technique with bound sets approach. At first, problems with upper-Carathéodory right-hand sides are investigated and it is shown afterwards how can the conditions be simplified in more regular case of upper semi-continuous right hand side. In this more regular case, the conditions ensuring the existence and the localization of a solution are put directly on the boundary of the considered bound set. This strict localization of the sufficient conditions is very significant since it allows some solutions to escape from the set of candidate solutions. In both cases, the C1 -bounding functions with locally Lipschitzian gradients are considered at first and it is shown afterwards how the conditions change in case of C2 -bounding functions. The paper concludes with an application of obtained results to Liénard-type equations and inclusions and the comparisons of our conclusions with the few results related to impulsive periodic and antiperiodic Liénard equations are obtained.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

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Continuities

N - Vyzkumna aktivita podporovana z neverejnych zdroju

Publication year

2022

Confidentiality

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

Name of the periodical

Differential Equations and Dynamical Systems

ISSN

0971-3514

e-ISSN

—

Volume of the periodical

30

Issue of the periodical within the volume

1

Country of publishing house

IN - INDIA

Number of pages

21

Pages from-to

1-21

UT code for WoS article

000737089900001

EID of the result in the Scopus database

2-s2.0-85122131203