Phase and dispersion theory of the differential equation y ' ' = q ( t ) y in connection with the generalized Floquet theory

Staněk, Svatoslav

Archivum Mathematicum (1978)

  • Volume: 014, Issue: 2, page 109-122
  • ISSN: 0044-8753

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Staněk, Svatoslav. "Phase and dispersion theory of the differential equation $y^{\prime \prime }=q(t)y$ in connection with the generalized Floquet theory." Archivum Mathematicum 014.2 (1978): 109-122. <http://eudml.org/doc/17970>.

@article{Staněk1978,
author = {Staněk, Svatoslav},
journal = {Archivum Mathematicum},
keywords = {Floquet theory; periodic solutions; dispersion; characteristic multiplier; linear differential equations; transformation of equations},
language = {eng},
number = {2},
pages = {109-122},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Phase and dispersion theory of the differential equation $y^\{\prime \prime \}=q(t)y$ in connection with the generalized Floquet theory},
url = {http://eudml.org/doc/17970},
volume = {014},
year = {1978},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - Phase and dispersion theory of the differential equation $y^{\prime \prime }=q(t)y$ in connection with the generalized Floquet theory
JO - Archivum Mathematicum
PY - 1978
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 014
IS - 2
SP - 109
EP - 122
LA - eng
KW - Floquet theory; periodic solutions; dispersion; characteristic multiplier; linear differential equations; transformation of equations
UR - http://eudml.org/doc/17970
ER -

References

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  1. Borůvka O., Linear Differential Transformations of the Second Order, The English Universities Press, London 1971. (1971) Zbl0222.34002MR0463539
  2. Borůvka O., On central dispersions of the differential equation y" = q(t)y with periodic coefficients, Lecture Notes in Mаthemаtics, 415, Proceedings of the Conference held аt Dundee, Scotlаnd, 26-29, Mаrch, 1974, 47-60. (1974) Zbl0313.34008MR0450691
  3. Borůvkа O., Sur les blocs des équations différentielles y" = q(t)y aux coefficients périodiques, Rend. Mаt. (2), 8, Ѕ. VI, 1975, 519-532. (1975) MR0379945
  4. Bоrůvkа O., Sur quelques compléments á la théorie de Ғloquet pour les équations différentielles du deuxième ordre, Ann. mаt. p. ed аppl. Ѕ. IV, CII, 1975, 71-77. (1975) 
  5. Боpувка O., Teopuя глoбaльныx cвoйcmв oбыкнoвeнныx лuнeйныx дuффepeнцuaльныx ypaвнeнuй вmopoгo нopядкa, Диффepeнциальныe уpавнeния, Hо 8, т. ХII, 1976, 1347-1383. (1976) 
  6. Лайтоx M., Pacшupeнue мemoдa Флoкe для onpeдeлeнuя вuдa фyндaмeнmaльнoй cucmeмы peшeнuй дuффepeнцuaлънoгo ypaвнeнuя вmopoгo nopядкa y" = q(t)y, Чex. мат. жуpнал, T. 5 (80), 1955, 164-173. (1955) 
  7. Mаgnuѕ W. аnd Winkler Ѕ., Hill's Equation, Interѕсienсe Publiѕherѕ New Yоrk, 1966. (1966) 
  8. Neumаn F., Note on bounded non-periodic solutions of second-order linear differential equations with periodic coefficients, Mаth. Nасhr. 39, 1969, 217-222. (1969) MR0247193

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