Limit point and limit circle classification for symplectic systems on time scales

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00073443" target="_blank" >RIV/00216224:14310/14:00073443 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.amc.2013.12.135" target="_blank" >http://dx.doi.org/10.1016/j.amc.2013.12.135</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.amc.2013.12.135" target="_blank" >10.1016/j.amc.2013.12.135</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Limit point and limit circle classification for symplectic systems on time scales

Popis výsledku v původním jazyce

In this paper we study the limit point and limit circle classification for symplectic systems on time scales, which depend linearly on the spectral parameter. In a broader context, we develop a unified Weyl-Titchmarsh theory for continuous and discrete linear Hamiltonian and symplectic systems. Both separated and coupled boundary conditions are allowed. Our results include the study of the Weyl disks and circles and their limiting behavior, as well as a precise analysis of the number of linearly independent square integrable solutions. We also prove an analogue of the famous Weyl alternative. We connect and unify many known results in the Weyl-Titchmarsh theory for continuous, discrete, and special time scales systems and explain the differences between them. Some of our statements, in particular those connected with coupled endpoints or the Weyl alternative, are new even in the continuous time setting.

Název v anglickém jazyce

Limit point and limit circle classification for symplectic systems on time scales

Popis výsledku anglicky

In this paper we study the limit point and limit circle classification for symplectic systems on time scales, which depend linearly on the spectral parameter. In a broader context, we develop a unified Weyl-Titchmarsh theory for continuous and discrete linear Hamiltonian and symplectic systems. Both separated and coupled boundary conditions are allowed. Our results include the study of the Weyl disks and circles and their limiting behavior, as well as a precise analysis of the number of linearly independent square integrable solutions. We also prove an analogue of the famous Weyl alternative. We connect and unify many known results in the Weyl-Titchmarsh theory for continuous, discrete, and special time scales systems and explain the differences between them. Some of our statements, in particular those connected with coupled endpoints or the Weyl alternative, are new even in the continuous time setting.

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

—

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

2014

Kód důvěrnosti údajů

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

Název periodika

Applied Mathematics and Computation

ISSN

0096-3003

e-ISSN

—

Svazek periodika

233

Číslo periodika v rámci svazku

MAY

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

24

Strana od-do

623-646

Kód UT WoS článku

000337288900059

EID výsledku v databázi Scopus

—