Time scale symplectic systems with analytic dependence on spectral parameter

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F15%3A00080616" target="_blank" >RIV/00216224:14310/15:00080616 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1080/10236198.2014.997227" target="_blank" >http://dx.doi.org/10.1080/10236198.2014.997227</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/10236198.2014.997227" target="_blank" >10.1080/10236198.2014.997227</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Time scale symplectic systems with analytic dependence on spectral parameter

Popis výsledku v původním jazyce

This paper is devoted to the study of time scale symplectic systems with polynomial and analytic dependence on the complex spectral parameter lambda. We derive fundamental properties of these systems (including the Lagrange identity) and discuss their connection with systems known in the literature, in particular with linear Hamiltonian systems. In analogy with the linear dependence on lambda, we present a construction of the Weyl disks and determine the number of linearly independent square integrablesolutions. These results extend the discrete time theory considered recently by the authors. To our knowledge, in the continuous time case this concept is new. We also establish the invariance of the limit circle case for a special quadratic dependence on lambda and its extension to two (generally nonsymplectic) time scale systems, which yields new results also in the discrete case. The theory is illustrated by several examples.

Název v anglickém jazyce

Time scale symplectic systems with analytic dependence on spectral parameter

Popis výsledku anglicky

This paper is devoted to the study of time scale symplectic systems with polynomial and analytic dependence on the complex spectral parameter lambda. We derive fundamental properties of these systems (including the Lagrange identity) and discuss their connection with systems known in the literature, in particular with linear Hamiltonian systems. In analogy with the linear dependence on lambda, we present a construction of the Weyl disks and determine the number of linearly independent square integrablesolutions. These results extend the discrete time theory considered recently by the authors. To our knowledge, in the continuous time case this concept is new. We also establish the invariance of the limit circle case for a special quadratic dependence on lambda and its extension to two (generally nonsymplectic) time scale systems, which yields new results also in the discrete case. The theory is illustrated by several examples.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Journal of Difference Equations and Applications

ISSN

1023-6198

e-ISSN

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Svazek periodika

21

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

31

Strana od-do

209-239

Kód UT WoS článku

000350570500003

EID výsledku v databázi Scopus

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