On the structure of second-order linear differential equations with given characteristic multipliers in the generalized Floquet theory

Staněk, Svatoslav

Archivum Mathematicum (1978)

  • Volume: 014, Issue: 4, page 235-242
  • ISSN: 0044-8753

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Staněk, Svatoslav. "On the structure of second-order linear differential equations with given characteristic multipliers in the generalized Floquet theory." Archivum Mathematicum 014.4 (1978): 235-242. <http://eudml.org/doc/17987>.

@article{Staněk1978,
author = {Staněk, Svatoslav},
journal = {Archivum Mathematicum},
keywords = {Floquet theory; characteristic multipliers; theory of phases; dispersions},
language = {eng},
number = {4},
pages = {235-242},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the structure of second-order linear differential equations with given characteristic multipliers in the generalized Floquet theory},
url = {http://eudml.org/doc/17987},
volume = {014},
year = {1978},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - On the structure of second-order linear differential equations with given characteristic multipliers in the generalized Floquet theory
JO - Archivum Mathematicum
PY - 1978
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 014
IS - 4
SP - 235
EP - 242
LA - eng
KW - Floquet theory; characteristic multipliers; theory of phases; dispersions
UR - http://eudml.org/doc/17987
ER -

References

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  1. O. Borůvka, Linear Differential Transformations of the Second Order, The English Universities Press, London, 1971. (1971) MR0463539
  2. Бopyвкa O., Teopuя глoбaльныx cвoйcmв oбыкнoвeнныx лuнeйныx дuффepeнцuaлъnыx ypaвнeнuй вmopoгo nopядкa, Диффepeнциaльныe ypaвнeния, Ho 8, т. XII, 1976, 1347-1383. (1976) 
  3. O. Borůvka, On central dispersions of the differential equation y" = q(t) y with periodic coefficients, Lecture Notes in Mathematics, 415, Proceedings of the Conference held at Dundee, Scotland, 26-29, March, 1974, 47-60. (1974) MR0450691
  4. O. Borůvka, Sur les blocs des équations différentielles y" = q(t) y aux coefficients périodiques, Rend. Mat. (2), 8, S. VI, 1975, 519-532. (1975) MR0379945
  5. O. Borůvka, Sur quelques compléments à la théorie de Floquet pour les équations différentielles du deuxième ordre, Ann. mat. p. ed appl. S. IV, CII, 1975, 71-77. (1975) MR0374532
  6. Лaйтox M., Pacшupeнue мemoòa Флoкe для onpeдeлeнuя вuдa фyндaмeнmaльнoй cucmeмы peшeнuй дuффepeнцuaльнoгo ypaвнeнuя вmopoгo nopядкa y" = q(t)y, Чex мaт. жypнaл, т. 5 (80), 1955, 164-173. (1955) 
  7. W. Magnus, S. Winkler, Hill's Equation, Interscience Publishers New York, 1966. (1966) Zbl0158.09604MR0197830
  8. F. Neuman, Note on bounded non-periodic solutions of the second-order linear differential equations with periodic coefficients, Mat. Nachrichten, 39, 1969, 217-222. (1969) MR0247193
  9. F. Neuman, S. Staněk, On the structure of second-order periodic differential equations with given characteristic multipliers, Arch. Math. (Brno), 3, XIII (1977), 149-157. (1977) MR0460790
  10. S. Staněk, Phase and dispersion theory of the differential equation y" = q(t)y in connection with the generalized Floquet theory, Arch. Math. Zbl0412.34025

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