| 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:
|
http://hdl.handle.net/10338.dmlcz/120097 |
| . |
| 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 |
| . |
