| Title:
|
Phase and dispersion theory of the differential equation $y''=q(t)y$ in connection with the generalized Floquet theory (English) |
| Author:
|
Staněk, Svatoslav |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
14 |
| Issue:
|
2 |
| Year:
|
1978 |
| Pages:
|
109-122 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C20 |
| MSC:
|
34C25 |
| idZBL:
|
Zbl 0412.34025 |
| idMR:
|
MR512750 |
| . |
| Date available:
|
2008-06-06T06:04:51Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106997 |
| . |
| Reference:
|
[1] Borůvka O.: Linear Differential Transformations of the Second Order.The English Universities 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 Mаthemаtics, 415, Proceedings of the Conference held аt Dundee, Scotlаnd, 26-29, Mаrch, 1974, 47-60. MR 0450691 |
| Reference:
|
[3] Borůvkа O.: Sur les blocs des équations différentielles y" = q(t)y aux coefficients périodiques.Rend. Mаt. (2), 8, Ѕ. VI, 1975, 519-532. MR 0379945 |
| Reference:
|
[4] Bоrůvkа O.: Sur quelques compléments á la théorie de Ғloquet pour les équations différentielles du deuxième ordre.Ann. mаt. p. ed аppl. Ѕ. IV, CII, 1975, 71-77. |
| Reference:
|
[5] Боpувка O.: Teopuя глoбaльныx cвoйcmв oбыкнoвeнныx лuнeйныx дuффepeнцuaльныx ypaвнeнuй вmopoгo нopядкa.Диффepeнциальныe уpавнeния, Hо 8, т. ХII, 1976, 1347-1383. |
| Reference:
|
[6] Лайтоx M.: Pacшupeнue мemoдa Флoкe для onpeдeлeнuя вuдa фyндaмeнmaльнoй cucmeмы peшeнuй дuффepeнцuaлънoгo ypaвнeнuя вmopoгo nopядкa y" = q(t)y.Чex. мат. жуpнал, T. 5 (80), 1955, 164-173. |
| Reference:
|
[7] Mаgnuѕ W. аnd Winkler Ѕ.: Hill's Equation.Interѕсienсe Publiѕherѕ New Yоrk, 1966. |
| Reference:
|
[8] Neumаn F.: Note on bounded non-periodic solutions of second-order linear differential equations with periodic coefficients.Mаth. Nасhr. 39, 1969, 217-222. MR 0247193 |
| . |
