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Title: On limit properties of phases and of central dispersions in the oscillatory equation $y'' = q(t) y$ with a periodic coefficient (English)
Title: O limitních vlastnostech fází a centrálních dispersí oscilatorické rovnice $y'' = q(t) y$ s periodickým koeficientem (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: 85-92
Summary lang: Czech
Summary lang: Russian
Category: math
MSC: 34B30
MSC: 34C10
MSC: 34C25
idZBL: Zbl 0498.34017
idMR: MR0645891
Date available: 2009-01-29T15:21:26Z
Last updated: 2012-05-03
Stable URL:
Reference: [1] Borůvka O.: Linear Differential Transformations of the Second Order.English Univ. Press, London, 1971. MR 0463539
Reference: [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. MR 0450691
Reference: [3] Borůvka O.: Sur les blocs des équations différentielles y" = q(t)y aux coefficients périodique.Rеnd. Mat. 8 (1975), 519-532. MR 0379945
Reference: [4] Bоrůvka O.: Sur quelques compléments á la théorie de Floquet pour les équations différentielles du deuxiéme ordre.Ann. Mat. Pura Appl. Ѕ. IV, CII (1975), 71-77.
Reference: [5] Боpyвкa O.: Teopuя глoбaлъныx cвoйcmв oбыкнoвeнныx лuнeйныx дuффepeнцuaлъныx ypaвнeнuй вmopoгo nopядкa.Диффepeнциaльныe ypaвнeния, No 8, T. 12, 1976, 1347-1383.
Reference: [6] Eндовицкий И. И.: Уcлoвuя ycmoйчuвocmu peшeнuй лuнeйнoгo дuффepeнцuaлънoгo ypaвнeнuя вmopoгo nopядкa c nepuoдuчecкuм кoэффuцueнmoм.Изв. выспшx yч. зaв., мaт., No 5, 1967, 28-33.
Reference: [7] Якyбович B. A., Cтapжинский B. M.: Лuнeйныe дuффepeнцuaлъныe ypaвнeнuя c nepuoдuчecкuмu кoэффuцueнmaмu u ux npuлoжeнuя.Изд. „Hayкa", Mосквa 1970.
Reference: [8] Magnuѕ W., Winkler Ѕ.: Hill’s Equation.Interѕсienсe Publiѕherѕ, New Yоrk, 1966. MR 0197830
Reference: [9] Neuman F.: Note on bounded non-periodic solutions of second-order linear differential equations with periodic coefficients.Math. Naсh. 39 (1969), 217-222. Zbl 0169.41703, MR 0247193


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