On square integrable solutions and principal and antiprincipal solutions for linear Hamiltonian systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F18%3A00100715" target="_blank" >RIV/00216224:14310/18:00100715 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10231-017-0679-7" target="_blank" >http://dx.doi.org/10.1007/s10231-017-0679-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10231-017-0679-7" target="_blank" >10.1007/s10231-017-0679-7</a>

Result language
angličtina
Original language name
On square integrable solutions and principal and antiprincipal solutions for linear Hamiltonian systems
Original language description
New results in the Weyl-Titchmarsh theory for linear Hamiltonian differential systems are derived by using principal and antiprincipal solutions at infinity. In particular, a non-limit circle case criterion is established and a close connection between the Weyl solution and the minimal principal solution at infinity is shown in the limit point case. In addition, the square integrability of the columns of the minimal principal solution at infinity is investigated. All results are obtained without any controllability assumption. Several illustrative examples are also provided.
Czech name
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Czech description
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Type
J<sub>imp</sub> - 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/GA16-00611S" target="_blank" >GA16-00611S: Hamiltonian and symplectic systems: oscillation and spectral theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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