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Title: On the generalized Floquet theory of disconjugate differential equations $y'' = q(t) y$ (English)
Title: Zobecněná Floquetova teorie diskonjugovaných diferenciálních rovnic $y'' = q(t) y$ (Czech)
Author: Staněk, Svatoslav
Language: English
Journal: Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
ISSN: 0231-6048
Volume: 20
Issue: 1
Year: 1981
Pages: 101-115
Summary lang: Czech
Summary lang: Russian
Category: math
MSC: 34C10
MSC: 34C25
MSC: 34C28
MSC: 34D05
idZBL: Zbl 0491.34038
idMR: MR0645893
Date available: 2009-01-29T15:21:34Z
Last updated: 2012-05-03
Stable URL:
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Reference: [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. MR 0397087
Reference: [8] Krbiľа J.: Explicit solutions of several Kummer’s nonlinear differential equation.Mаt. Čаѕ., Nо 4, 1974, 343-348. MR 0382767
Reference: [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.
Reference: [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. MR 0247193
Reference: [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. MR 0460790
Reference: [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. MR 0512750
Reference: [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. MR 0512767
Reference: [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. MR 0589850
Reference: [15] Ѕtаněk Ѕ.: The characteristic multipliers of a block and of an inverse block of second-order linear differential equations with $\pi$-periodic coefficients.Aсtа Univ. Pаlасkiаnае Olоmuсеnѕiѕ, 57 (1978), 39-51. MR 0554035
Reference: [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. MR 0554036
Reference: [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. MR 0589851


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