On the Floquet theory of differential equations y ' ' = Q ( t ) y with a complex coefficient of the real variable

Staněk, Svatoslav

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1988)

  • Volume: 27, Issue: 1, page 149-183
  • ISSN: 0231-9721

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Staněk, Svatoslav. "On the Floquet theory of differential equations $y^{\prime \prime }=Q(t)y$ with a complex coefficient of the real variable." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 27.1 (1988): 149-183. <http://eudml.org/doc/23470>.

@article{Staněk1988,
author = {Staněk, Svatoslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Floquet Theory; phase theory},
language = {eng},
number = {1},
pages = {149-183},
publisher = {Palacký University Olomouc},
title = {On the Floquet theory of differential equations $y^\{\prime \prime \}=Q(t)y$ with a complex coefficient of the real variable},
url = {http://eudml.org/doc/23470},
volume = {27},
year = {1988},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - On the Floquet theory of differential equations $y^{\prime \prime }=Q(t)y$ with a complex coefficient of the real variable
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1988
PB - Palacký University Olomouc
VL - 27
IS - 1
SP - 149
EP - 183
LA - eng
KW - Floquet Theory; phase theory
UR - http://eudml.org/doc/23470
ER -

References

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  1. Borůvka O., Lineare Differential Transformations of the Second Order, The English Univ. Press, London 1971. (1971) MR0463539
  2. Borůvka O., On central dispersions of the differential equation y " = q ( t ) y with periodic coefficients, Lecture Notes in Mathematics, 415 (1974), 47-60. (1974) MR0450691
  3. Borůvka O., Sur les blocs des équations différentielles y " = q ( t ) y aux coefficients périodiques, Rend. di Mat. (2), 8 (1975), 519-532. (1975) MR0379945
  4. Borůvka O., Sur quelques compléments à la théorie de Floquet pour les équations différentielles du deuxièma ordre, Ann.Mat.Pura Appl. S.IV, CII (1975), 71-77. (1975) MR0374532
  5. Бopyвкa O., Teopия глoбaльныx cвoйcтв oбыкнoвeнныx лuнeйныx диффepeнциaльныx ypaвнeний втopoгo nopядкa, Диффepeнциaльныe ypaвнeния, Но. 8, т. 12, 1976, 1347-1383. (1976) 
  6. Borůvka O., Sur les blocs des équations différentielles linéaires du deuxième ordre et leurs transformations, Časopis pro pěstování matematiky, 111 (1986), 78-88. (1986) Zbl0596.34022MR0833160
  7. Magnus W., Winkler S., Hill’s Equation, Interscience Publishers, New York, 1966. (1966) Zbl0158.09604MR0197830
  8. Neuman F., Note on bounded non-periodic solutions of second-order linear differential equations with periodic coefficients, Math. Nach. 39 (1969), 217-222. (1969) Zbl0169.41703MR0247193
  9. Neuman F., Staněk S., On the structure of second-order periodic differential equations with given characteristic multipliers, Arch. Math. (Brno), XIII (1977), 149-157. (1977) MR0460790
  10. Плис В. А., Нелокальные проблемы теории колебаний, Издательство Наука, Москва 1964. (1964) Zbl1230.62001
  11. Staněk S., A note on the disconjugate linear differential equations of the second order with periodic coefficients, Acta Univ. Palackianae Olomucensis, F.R.N., Vol. 61, 1979, 93-101. (1979) MR0589851
  12. Staněk S., On limit properties of phases and of central dispersions in the oscillatory equation y " = q ( t ) y with a periodic coefficient, Acta Univ. Palackiane Olomucensis, F.R.N., Vol.69, 1981, 85-92. (1981) MR0645891
  13. Staněk S., A phase of the differential equation y " = Q ( t ) y with a complex coefficient Q of a real variable, Acta Univ. Palackianae Olomucensis, F.R.N., Mathematica XXV, vol. 85, 1986, 57-73. (1986) MR0918369
  14. Staněk S., On a transformation of solutions of the differential equation y " = Q ( t ) y with a complex coefficient Q of a real variable, Acta Univ. Palackianae Olomucensis. Math. XXVI., Vol. 88, 1987 Zbl0712.34009MR1033331
  15. Swanson C. A., Comparison and Oscillation Theory of Linear Differential Equations, Academic Press, New York and London 1968. (1968) Zbl0191.09904MR0463570

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