Antiprincipal solutions at infinity for symplectic systems on time scales

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F20%3A00114213" target="_blank" >RIV/00216224:14310/20:00114213 - isvavai.cz</a>

Result on the web

<a href="http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8447" target="_blank" >http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8447</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14232/ejqtde.2020.1.44" target="_blank" >10.14232/ejqtde.2020.1.44</a>

Result language

angličtina

Original language name

Antiprincipal solutions at infinity for symplectic systems on time scales

Original language description

In this paper we introduce a new concept of antiprincipal solutions at infinity for symplectic systems on time scales. This concept complements the earlier notion of principal solutions at infinity for these systems by the second author and Sepitka (2016). We derive main properties of antiprincipal solutions at infinity, including their existence for all ranks in a given range and a construction from a certain minimal antiprincipal solution at infinity. We apply our new theory of antiprincipal solutions at infinity in the study of principal solutions, and in particular in the Reid construction of the minimal principal solution at infinity. In this work we do not assume any normality condition on the system, and we unify and extend to arbitrary time scales the theory of antiprincipal solutions at infinity of linear Hamiltonian differential systems and the theory of dominant solutions at infinity of symplectic difference systems.

Czech name

—

Czech description

—

Type

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

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA19-01246S" target="_blank" >GA19-01246S: New oscillation theory for linear Hamiltonian and symplectic systems</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>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

Electronic Journal of Qualitative Theory of Differential Equations

ISSN

1417-3875

e-ISSN

—

Volume of the periodical

Neuveden

Issue of the periodical within the volume

44

Country of publishing house

HU - HUNGARY

Number of pages

32

Pages from-to

1-32

UT code for WoS article

000544906500001

EID of the result in the Scopus database

2-s2.0-85087375894