| Title:
|
A note on disconjugate linear differential equations of the second order with periodic coefficients (English) |
| Title:
|
Poznámka k diskonjugovaným diferenciálním rovnicím 2. řádu s periodickými koeficienty (Czech) |
| Author:
|
Staněk, Svatoslav |
| Language:
|
English |
| Journal:
|
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika |
| ISSN:
|
0231-6048 |
| Volume:
|
18 |
| Issue:
|
1 |
| Year:
|
1979 |
| Pages:
|
93-101 |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A30 |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0466.34014 |
| idMR:
|
MR0589851 |
| . |
| Date available:
|
2009-01-29T15:19:54Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120072 |
| . |
| Reference:
|
[1] F. M. Arscott: Periodic Differential Equations.Pergamon Press, Oxford 1964. Zbl 0121.29903 |
| Reference:
|
[2] O. Borůvka: Linear Differential Transformations of the Second Order.The English Univ. Press, London 1971. MR 0463539 |
| Reference:
|
[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. MR 0450691 |
| Reference:
|
[4] O. Borůvka: Sur les blocs équations différentielles y" = q(t)y aux coefficients périodique.Rеnd. Mat. 8 (1975), 519-532. MR 0379945 |
| Reference:
|
[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. |
| Reference:
|
[6] O. Бopyвкa: Teopuя глoбaлъныx cвoйcmв oбыкнoвeнныx лuнeйныx дuффepeнцuaлъныx ypaвнeнuй вmopoгo nopядкa.Диффepeнциaльныe ypaвнeния, No 8, т. XII, 1976, 1347-1383. |
| Reference:
|
[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. |
| Reference:
|
[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. |
| Reference:
|
[9] J. Krbiľa: Pure disconjugate homogeneous linear differential equations of the second order.Zborník vеdеckých prác VŠL Zvolеn, (1972), 241-248. |
| Reference:
|
[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. MR 0397087 |
| Reference:
|
[11] J. Krbiľа: Explicit solutions of several Kummer’s nonlinear differential equations.Mаt. Čаs., 24, No 4 (1974), 243-348. MR 0382767 |
| Reference:
|
[12] L. Mаrkus аnd B. A. Moorе: Oscillation and disconjugacy for linear differential equations with almost periodic coefficients.Actа Mаth., 96 (1956), 99-123. MR 0080813 |
| Reference:
|
[13] W. Mаgnus аnd S. Winklеr: Hill’s Equation.Intеrsciеncе Publishеrs, Nеw York 1966. |
| Reference:
|
[14] F. Neumаn: Note on bounded non-periodic solutions of second-order linear differential equations with periodic coefficients.Mаth. Nаch., 39 (1969), 217-222. MR 0247193 |
| Reference:
|
[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. MR 0460790 |
| . |
