| Title:
|
On the Floquet theory of differential equations $y''=Q(t)y$ with a complex coefficient of the real variable (English) |
| Title:
|
Floquetova teorie diferenciálních rovnic $y''=Q(t)y$ s komplexním koeficientem reálné proměnné (Czech) |
| Author:
|
Staněk, Svatoslav |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
27 |
| Issue:
|
1 |
| Year:
|
1988 |
| Pages:
|
149-183 |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C25 |
| MSC:
|
34C99 |
| idZBL:
|
Zbl 0699.34039 |
| idMR:
|
MR1039888 |
| . |
| Date available:
|
2009-01-29T15:33:49Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120191 |
| . |
| Reference:
|
[1] Borůvka O.: Lineare Differential Transformations of the Second Order.The 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 périodiques.Rend. di Mat. (2), 8 (1975), 519-532. MR 0379945 |
| Reference:
|
[4] Borůvka O.: Sur quelques compléments à la théorie de Floquet pour les équations différentielles du deuxièma ordre.Ann.Mat.Pura Appl. S.IV, CII (1975), 71-77. MR 0374532 |
| Reference:
|
[5] Бopyвкa O.: Teopия глoбaльныx cвoйcтв oбыкнoвeнныx лuнeйныx диффepeнциaльныx ypaвнeний втopoгo nopядкa.Диффepeнциaльныe ypaвнeния, Но. 8, т. 12, 1976, 1347-1383. |
| Reference:
|
[6] Borůvka O.: Sur les blocs des équations différentielles linéaires du deuxième ordre et leurs transformations.Časopis pro pěstování matematiky, 111 (1986), 78-88. Zbl 0596.34022, MR 0833160 |
| Reference:
|
[7] Magnus W., Winkler S.: Hill’s Equation.Interscience Publishers, New York, 1966. Zbl 0158.09604, MR 0197830 |
| Reference:
|
[8] Neuman F.: Note on bounded non-periodic solutions of second-order linear differential equations with periodic coefficients.Math. Nach. 39 (1969), 217-222. Zbl 0169.41703, MR 0247193 |
| Reference:
|
[9] Neuman F., Staněk S.: On the structure of second-order periodic differential equations with given characteristic multipliers.Arch. Math. (Brno), XIII (1977), 149-157. MR 0460790 |
| Reference:
|
[10] Плис В. А.: Нелокальные проблемы теории колебаний.Издательство Наука, Москва 1964. Zbl 1230.62001 |
| Reference:
|
[11] Staněk S.: A note on the disconjugate linear differential equations of the second order with periodic coefficients.Acta Univ. Palackianae Olomucensis, F.R.N., Vol. 61, 1979, 93-101. MR 0589851 |
| Reference:
|
[12] Staněk S.: On limit properties of phases and of central dispersions in the oscillatory equation $y" = q(t)y$ with a periodic coefficient.Acta Univ. Palackiane Olomucensis, F.R.N., Vol.69, 1981, 85-92. MR 0645891 |
| Reference:
|
[13] Staněk S.: A phase of the differential equation $y" = Q(t)y$ with a complex coefficient $Q$ of a real variable.Acta Univ. Palackianae Olomucensis, F.R.N., Mathematica XXV, vol. 85, 1986, 57-73. MR 0918369 |
| Reference:
|
[14] Staněk S.: On a transformation of solutions of the differential equation $y" = Q(t)y$ with a complex coefficient $Q$ of a real variable.Acta Univ. Palackianae Olomucensis. Math. XXVI., Vol. 88, 1987 Zbl 0712.34009, MR 1033331 |
| Reference:
|
[15] Swanson C. A.: Comparison and Oscillation Theory of Linear Differential Equations.Academic Press, New York and London 1968. Zbl 0191.09904, MR 0463570 |
| . |
