| Title:
|
On a structure of second order linear differential equations with periodic coefficients having the same discriminant (English) |
| Title:
|
Struktura lineárních diferenciálních rovnic 2. řádu s periodickými koeficienty, které mají stejný diskriminant (Czech) |
| Author:
|
Staněk, Svatoslav |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
22 |
| Issue:
|
1 |
| Year:
|
1983 |
| Pages:
|
91-98 |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A30 |
| MSC:
|
34C11 |
| idZBL:
|
Zbl 0584.34004 |
| idMR:
|
MR744703 |
| . |
| Date available:
|
2009-01-29T15:26:15Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120139 |
| . |
| Reference:
|
[1] Arѕсott F. M.: Periodic Differential Equations.Pеrgamon Prеѕѕ, Oxford, 1964. |
| Reference:
|
[2] Borůvka O.: Linear Differential Transformations of the Second Order.Thе Engliѕh Univеrѕitiеѕ Prеѕѕ, London, 1971. MR 0463539 |
| Reference:
|
[3] Бopувкa O.: Teopuя глoбaлъныx cвoйcmв oвыкнoвeнныx лuнeйныx дuффepeнцuaлъныx ypaвнeнuй вmopoгo nopядкa.Диффеpенциaльные уpaвнения, No 8, т. XII, 1976, 1346-1383. |
| Reference:
|
[4] Grеguѕ M., Nеuman F., Arѕсott F. M.: Three-point boundary problems in differential equations.J. London Math. Soс. (2), 3, 1971, 429-436. MR 0283282 |
| Reference:
|
[5] Hartman P.: Ordinary Differential Equations.(In Ruѕѕian) Moѕсow, 1970. Zbl 0214.09101 |
| Reference:
|
[6] Якубoвич B. A., Стapжинский B. A.: Лuнeйныe дuффepeнцuaлъныe ypaвнeнuя c nepuoдuчecкuм кoзффuцueнmaмu u ux npuлoжeнuя.Издaтельствo „Haукa", Moсквa 1970. |
| Reference:
|
[7] Krbiľa J.: Vlastnosti fáz neoscilatorických rovnic y" = q(t)y definovaných pomocou hyperbolických polárnych súradnic.Sborník praсí VŠD a VŰD, 19, 1969, 5-11. |
| Reference:
|
[8] Krbiľa J.: Application von parabolischen Phasen der Differentialgleichung y" = q(t)y.Sborník prасí VŠD а VÚD, IV vеd. konf., 1. ѕеkсiа, 1973, 67-74. MR 0397087 |
| Reference:
|
[9] Krbiľа J.: Explicit solution of several Kummer’s nonlinear differential equations.Mаt. Čаѕ., 24 No. 4, 1974, 343-348. MR 0382767 |
| Reference:
|
[10] Mаgnuѕ M., Winklеr S.: Hill’s Equation.Intеrѕсiеnсе Publiѕhеrѕ, Nеw York, 1966. |
| Reference:
|
[11] Mаrkuѕ L., Moorе R. A.: Oscillation and disconjugacy for linear differential equations with almost periodic coefficients.Aсtа Mаth., 96, 1956, 99-123. MR 0080813 |
| Reference:
|
[12] Nеumаn F., Stаněk S.: On the structure of second-order periodic differential equations with given characteristic multipliers.Arch. Mаth. (Brno), 3, XIII, 1977, 149-158. MR 0460790 |
| Reference:
|
[13] Stаněk S.: Phase and dispersion theory of the differential equation y" = q(t)y in connection with the generalized Floquet theory.Arсh. Mаth. (Brno) 2, XIV, 1978, 109-122. MR 0512750 |
| Reference:
|
[14] Stаněk S.: A note on disconjugate linear differential equations of the second order with periodic coefficients.Aсtа Univ. Pаlасkiаnае Olomuсеnѕiѕ F. R. N., 61, 1979, 83-101. |
| . |
