Principal solutions and transformations of linear Hamiltonian systems

Ondřej Došlý

Archivum Mathematicum (1992)

  • Volume: 028, Issue: 1-2, page 113-120
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Došlý, 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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  1. Principal and antiprincipal solutions of selfadjoint diferential systems and their reciprocals, Rocky Mountain J. Math. 2 (1972), 169-189. (1972) MR0296388
  2. Equivalent boundary value problems for self-adjoint differential systems, J. Diff Equations 9 (1971), 420-435. (1971) Zbl0218.34020MR0284636
  3. The effect of variable change on oscillation and disconjugacy criteria with application to spectral theory and asymptotic theory, J. Math. Anal. Appl. 81 (1981), 234-277. (1981) MR0618771
  4. Disconjugacy, Lecture Notes in Math. No. 220 (1971), Berlin – New York – Heidelberg. (1971) Zbl0224.34003MR0460785
  5. On transformation of self-adjoint linear differential systems and their reciprocals, Annal. Pol. Math. 50 (1990), 223-234. (1990) 
  6. Transformations of linear Hamiltonian system preserving oscillatory behaviour, Arch. Math. 27 (1991), 211-219. (1991) MR1189218
  7. Self-adjoint, non-oscillatory systems of ordinary, second order linear differential equations, Duke J. Math. 24 (1956), 25-35. (1956) MR0082591
  8. Oscillation and asymptotic behaviour of systems of ordinary linear differential equations, Trans. Amer. Math. Soc. 256 (1979), 1-49. (1979) MR0546906
  9. Sturmian Theory for Ordinary Differential Equations, Springer Verlag, New York – Berlin – Heidelberg, 1980. (1980) Zbl0459.34001MR0606199

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