Principal solutions and transformations of linear Hamiltonian systems
Archivum Mathematicum (1992)
- Volume: 028, Issue: 1-2, page 113-120
- ISSN: 0044-8753
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topDošlý, Ondřej. "Principal solutions and transformations of linear Hamiltonian systems." Archivum Mathematicum 028.1-2 (1992): 113-120. <http://eudml.org/doc/247342>.
@article{Došlý1992,
abstract = {Sufficient conditions are given which guarantee that the linear transformation converting a given linear Hamiltonian system into another system of the same form transforms principal (antiprincipal) solutions into principal (antiprincipal) solutions.},
author = {Došlý, Ondřej},
journal = {Archivum Mathematicum},
keywords = {principal solution; linear Hamiltonian system; reciprocal system; antiprincipal solutions; principal solutions; linear Hamiltonian system},
language = {eng},
number = {1-2},
pages = {113-120},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Principal solutions and transformations of linear Hamiltonian systems},
url = {http://eudml.org/doc/247342},
volume = {028},
year = {1992},
}
TY - JOUR
AU - Došlý, Ondřej
TI - Principal solutions and transformations of linear Hamiltonian systems
JO - Archivum Mathematicum
PY - 1992
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 028
IS - 1-2
SP - 113
EP - 120
AB - Sufficient conditions are given which guarantee that the linear transformation converting a given linear Hamiltonian system into another system of the same form transforms principal (antiprincipal) solutions into principal (antiprincipal) solutions.
LA - eng
KW - principal solution; linear Hamiltonian system; reciprocal system; antiprincipal solutions; principal solutions; linear Hamiltonian system
UR - http://eudml.org/doc/247342
ER -
References
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- Transformations of linear Hamiltonian system preserving oscillatory behaviour, Arch. Math. 27 (1991), 211-219. (1991) MR1189218
- Self-adjoint, non-oscillatory systems of ordinary, second order linear differential equations, Duke J. Math. 24 (1956), 25-35. (1956) MR0082591
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- Sturmian Theory for Ordinary Differential Equations, Springer Verlag, New York – Berlin – Heidelberg, 1980. (1980) Zbl0459.34001MR0606199
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