| Title:
|
On the structure of second-order linear differential equations with given characteristic multipliers in the generalized Floquet theory (English) |
| Author:
|
Staněk, Svatoslav |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
14 |
| Issue:
|
4 |
| Year:
|
1978 |
| Pages:
|
235-242 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| MSC:
|
34C99 |
| idZBL:
|
Zbl 0423.34044 |
| idMR:
|
MR512767 |
| . |
| Date available:
|
2008-06-06T06:05:43Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107016 |
| . |
| Reference:
|
[1] O. Borůvka: Linear Differential Transformations of the Second Order.The English Universities Press, London, 1971. MR 0463539 |
| Reference:
|
[2] Бopyвкa O.: Teopuя глoбaльныx cвoйcmв oбыкнoвeнныx лuнeйныx дuффepeнцuaлъnыx ypaвнeнuй вmopoгo nopядкa.Диффepeнциaльныe ypaвнeния, Ho 8, т. XII, 1976, 1347-1383. |
| Reference:
|
[3] O. Borůvka: On central dispersions of the differential equation y" = q(t) y with periodic coefficients.Lecture Notes in Mathematics, 415, Proceedings of the Conference held at Dundee, Scotland, 26-29, March, 1974, 47-60. MR 0450691 |
| Reference:
|
[4] O. Borůvka: Sur les blocs des équations différentielles y" = q(t) y aux coefficients périodiques.Rend. Mat. (2), 8, S. VI, 1975, 519-532. MR 0379945 |
| Reference:
|
[5] O. Borůvka: Sur quelques compléments à la théorie de Floquet pour les équations différentielles du deuxième ordre.Ann. mat. p. ed appl. S. IV, CII, 1975, 71-77. MR 0374532 |
| Reference:
|
[6] Лaйтox M.: Pacшupeнue мemoòa Флoкe для onpeдeлeнuя вuдa фyндaмeнmaльнoй cucmeмы peшeнuй дuффepeнцuaльнoгo ypaвнeнuя вmopoгo nopядкa y" = q(t)y.Чex мaт. жypнaл, т. 5 (80), 1955, 164-173. |
| Reference:
|
[7] W. Magnus, S. Winkler: Hill's Equation.Interscience Publishers New York, 1966. Zbl 0158.09604, MR 0197830 |
| Reference:
|
[8] F. Neuman: Note on bounded non-periodic solutions of the second-order linear differential equations with periodic coefficients.Mat. Nachrichten, 39, 1969, 217-222. MR 0247193 |
| Reference:
|
[9] F. Neuman, S. Staněk: On the structure of second-order periodic differential equations with given characteristic multipliers.Arch. Math. (Brno), 3, XIII (1977), 149-157. MR 0460790 |
| Reference:
|
[10] S. Staněk: Phase and dispersion theory of the differential equation y" = q(t)y in connection with the generalized Floquet theory.Arch. Math. Zbl 0412.34025 |
| . |
