| BOHNER, Martin and Roman HILSCHER. An eigenvalue problem for linear Hamiltonian dynamic systems. Fasciculi Mathermatici. Poznaň, Polsko: Politechnika Poznaňska, Institut Mat., 2005, vol. 35, No 1, p. 35-49. ISSN 0044-4413. |
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@article{574383,
author = {Bohner, Martin and Hilscher, Roman},
article_location = {Poznaň, Polsko},
article_number = {1},
keywords = {Time scale; Linear Hamiltonian system; Eigenvalue; Eigenfunction; Quadratic functional;
Time scale; Linear Hamiltonian system; Eigenvalue; Eigenfunction; Quadratic functional; Focal point; Normality},
language = {eng},
issn = {0044-4413},
journal = {Fasciculi Mathermatici},
title = {An eigenvalue problem for linear Hamiltonian dynamic systems},
volume = {35},
year = {2005}
}
TY - JOUR
ID - 574383
AU - Bohner, Martin - Hilscher, Roman
PY - 2005
TI - An eigenvalue problem for linear Hamiltonian dynamic systems
JF - Fasciculi Mathermatici
VL - 35
IS - 1
SP - 35-49
EP - 35-49
PB - Politechnika Poznaňska, Institut Mat.
SN - 00444413
KW - Time scale
KW - Linear Hamiltonian system
KW - Eigenvalue
KW - Eigenfunction
KW - Quadratic functional
KW - Time scale
KW - Linear Hamiltonian system
KW - Eigenvalue
KW - Eigenfunction
KW - Quadratic functional
KW - Focal point
KW - Normality
N2 - In this paper we consider eigenvalue problems on time scales involving linear Hamiltonian dynamic systems. We give conditions that ensure that the eigenvalues of the problem are isolated and bounded below. The presented results are applicable also to Sturm--Liouville dynamic equations of higher order, and further special cases of our systems are linear Hamiltonian differential systems as well as linear Hamiltonian difference systems.
ER -
BOHNER, Martin and Roman HILSCHER. An eigenvalue problem for linear Hamiltonian dynamic systems. \textit{Fasciculi Mathermatici}. Poznaň, Polsko: Politechnika Poznaňska, Institut Mat., 2005, vol.~35, No~1, p.~35-49. ISSN~0044-4413.
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