On the generalized Floquet theory of disconjugate differential equations y ' ' = q ( t ) y

Staněk, Svatoslav

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika (1981)

  • Volume: 20, Issue: 1, page 101-115
  • ISSN: 0231-9721

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Staněk, Svatoslav. "On the generalized Floquet theory of disconjugate differential equations $y^{\prime \prime } = q(t) y$." Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika 20.1 (1981): 101-115. <http://eudml.org/doc/23378>.

@article{Staněk1981,
author = {Staněk, Svatoslav},
journal = {Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika},
keywords = {disconjugate differential equations; Floquet theory; oscillatory dispersion; characteristic multipliers},
language = {eng},
number = {1},
pages = {101-115},
publisher = {Palacký University Olomouc},
title = {On the generalized Floquet theory of disconjugate differential equations $y^\{\prime \prime \} = q(t) y$},
url = {http://eudml.org/doc/23378},
volume = {20},
year = {1981},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - On the generalized Floquet theory of disconjugate differential equations $y^{\prime \prime } = q(t) y$
JO - Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
PY - 1981
PB - Palacký University Olomouc
VL - 20
IS - 1
SP - 101
EP - 115
LA - eng
KW - disconjugate differential equations; Floquet theory; oscillatory dispersion; characteristic multipliers
UR - http://eudml.org/doc/23378
ER -

References

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  2. Borůvka O., On central dispersions of the differential equations y" = q(t)y with periodic coefficients, Lecture Notes in Mаthemаtics, 415, 1974, 47-60. (1974) MR0450691
  3. Borůvkа O., Sur les blocs des équations différentielles y" = q(t)y aux coefficients périodiques, Rеnd. Mаt. (2), 8, Ѕ. VI, 1975, 519-532. (1975) MR0379945
  4. Bоrůvkа O., Sur quelques compléments á la théorie de Floquet pour les équations différentielles du deuxième ordre, Ann mаt. p. еd аppl. Ѕ. IV, CII, 1975, 71-77. (1975) 
  5. Боpyвкa O., Teopuя глoбaлъныx cвoйcmв oбыкнoвeнныx лuнeйныx дuффepeнцuaлъныx ypaвнeнuй вmopoгo nopядкa, Диффepeнциaльныe ypaвнeния, No 8, T. 12, 1976, 1347-1383. (1976) 
  6. Krbiľа J., VІastnosti fáz neoscilatorických rovnic y" = q(t)y defìnovaných pomocou hyperbolických polárných súradnic, Ѕbоrník prасí VŠD а VÚD, 19, 1969, 5-19. (1969) 
  7. Krbiľа J., Application von parabolishen Phasen der Differentialgleichung y" = q(t)y, Ѕbогník pгасí VŠD а VÚD, 1973, IV. vеd. kоnf., 1. ѕеkсiа, 67-74. (1973) MR0397087
  8. Krbiľа J., Explicit solutions of several Kummer’s nonlinear differential equation, Mаt. Čаѕ., Nо 4, 1974, 343-348. (1974) MR0382767
  9. Лайтоx M., Pacшupeнue мemoдa Флoкe для onpeдeлeнuя вuдa фyндaмeнmaлънoй cucmeмы peшeнuй дuффepeнцuaлънoгo ypaвнeнuя вmopoгo nopядкa y" = a(t)y, Чеx. мат. жуpнал т. 5 (80), 1955, 164-173. (1955) 
  10. Nеumаn F., Note on bounded non-periodic solutions of the second-order linear differential equations with periodic coefficients, Mаth. Nасh., 39, 1969, 217-222. (1969) MR0247193
  11. Neumаn F. аnd Ѕtаněk Ѕ., On the structure of second-order periodic differential equations with given characteristic multipliers, Arсh. Mаth. (Brnо), 3, XIII, 1977, 149-158. (1977) MR0460790
  12. Ѕtаněk Ѕ., Phase and dispersion theory of the differential equation y" = q(t)y in connection with the generalized Floquet theory, Arсһ. Mаth. (Brnо), 2, XIV, 1978, 109-122. (1978) MR0512750
  13. Ѕtаněk Ѕ., On the structure of second-order linear differential equations with given characteпstic multipliers in the generalized Floquet theory, Arсh. Mаth. (Brnо), 4, XIV, 1978, 235-242. (1978) MR0512767
  14. Ѕtаněk Ѕ., On an application of the generalized Floquet theory to the transformation of the equation y" = q(t)y into its associated equation, Aсtа Univ. Раlасkiаnае Olоmuсеnѕiѕ, 61 (1979), 81-92. (1979) MR0589850
  15. Ѕtаněk Ѕ., The characteristic multipliers of a block and of an inverse block of second-order linear differential equations with π -periodic coefficients, Aсtа Univ. Pаlасkiаnае Olоmuсеnѕiѕ, 57 (1978), 39-51. (1978) MR0554035
  16. Ѕtаněk Ѕ., On the structure of the second-order periodic linear differential equations with the same characteristic multipliers, Aсtа Univ. Pаlасkiаnае Olоmuсеnѕiѕ, 57(1978), 53-60. (1978) MR0554036
  17. Ѕtаněk Ѕ., A note on disconjugate linear differential equations of the second order with periodic coefficients, Асtа Univ. Pаlасkiаnае Olоmuсеnѕiѕ, 51 (1979), 93 -101. (1979) MR0589851

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