A note on disconjugate linear differential equations of the second order with periodic coefficients

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1. F. M. Arscott, Periodic Differential Equations, Pergamon Press, Oxford 1964. (1964) Zbl0121.29903
2. O. Borůvka, Linear Differential Transformations of the Second Order, The English Univ. Press, London 1971. (1971) MR0463539
3. O. Borůvka, On central dispersions of the differential equation y" = q(t)y with periodic coefficients, Lecture Notes in Mathematics, 415 (1974), 47-60. (1974) MR0450691
4. O. Borůvka, Sur les blocs équations différentielles y" = q(t)y aux coefficients périodique, Rеnd. Mat. 8 (1975), 519-532. (1975) MR0379945
5. O. Bоrůvka, Sur quelques compléments à la théorie de Floquet pour les équations différentielles du deuxième ordre, Ann. Mat. Pura Appl. Ѕ. IV, CII (1975), 71-77. (1975) 
6. O. Бopyвкa, Teopuя глoбaлъныx cвoйcmв oбыкнoвeнныx лuнeйныx дuффepeнцuaлъныx ypaвнeнuй вmopoгo nopядкa, Диффepeнциaльныe ypaвнeния, No 8, т. XII, 1976, 1347-1383. (1976) 
7. J. Krbiľa, Vlastnosti fáz neoscilatorických rovnic y" = q(t) y definovaných pomocou hyperbolických polárných súradnic, Sborník prací VŠD a VÚD, 19 (1969), 5-11. (1969) 
8. J. Krbiľa, Existencia a neohraničenosť prvej hyperbolickej fázy neoscilatorickej diferenciálnej rovnice y" = q(t)y, Sborník prací VŠD a VÚD, 25 (1969), 5-13. (1969) 
9. J. Krbiľa, Pure disconjugate homogeneous linear differential equations of the second order, Zborník vеdеckých prác VŠL Zvolеn, (1972), 241-248. (1972) 
10. J. Krbiľa, Application von parabolischen Phasen der DIfferentialgleichung y" = a(t)y, Sborník prаcí VŠD а VÚD, IV. vеd. konf., 1. sеkciа, (1973), 67-74. (1973) MR0397087
11. J. Krbiľа, Explicit solutions of several Kummer’s nonlinear differential equations, Mаt. Čаs., 24, No 4 (1974), 243-348. (1974) MR0382767
12. L. Mаrkus аnd B. A. Moorе, Oscillation and disconjugacy for linear differential equations with almost periodic coefficients, Actа Mаth., 96 (1956), 99-123. (1956) MR0080813
13. W. Mаgnus аnd S. Winklеr, Hill’s Equation, Intеrsciеncе Publishеrs, Nеw York 1966. (1966) 
14. F. Neumаn, Note on bounded non-periodic solutions of second-order linear differential equations with periodic coefficients, Mаth. Nаch., 39 (1969), 217-222. (1969) MR0247193
15. F. Neumаn аnd S. Stаněk, On the structure of second-order periodic differential equations with given characteristic multipliers, Arch. Mаth. (Brno), XIII (1977), 149-158. (1977) MR0460790

1. Staněk, Svatoslav, On the Floquet theory of differential equations $y^{\text{'}\text{'}}=Q\left(t\right)y$ with a complex coefficient of the real variable