| Title:
|
On some properties of solutions of the second order linear differential equations with periodic coefficients having a common oneparametric continuous group of dispersions (English) |
| Title:
|
O některých vlastnostech řešení lineárních diferenciálních rovnic 2. řádu s periodickými koeficienty, které mají společnou jednoparametrickou spojitou grupu dispersí (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:
|
93-99 |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A30 |
| MSC:
|
34C10 |
| MSC:
|
34C25 |
| idZBL:
|
Zbl 0484.34028 |
| idMR:
|
MR0645892 |
| . |
| Date available:
|
2009-01-29T15:21:30Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120098 |
| . |
| Reference:
|
[1] Borg G.: Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe.Acta Math. 78 (1946), 1-96. Zbl 0063.00523, MR 0015185 |
| Reference:
|
[2] Borůvka O.: Linear Differential Transformations of the Second Order.The English Univ. Press, London, 1971. MR 0463539 |
| Reference:
|
[3] Боpyвкa O.: Teopuя глoбaлъныx cвoйcmв oбыкнoвeнныx лuнeйныx дuффepeнцuaлъныx ypaвнeнuй вmopoгo nopядкa.Диффepeнциaльныe ypaвнeния, No 8, T. 12, 1976, 1347-1383. |
| Reference:
|
[4] Borůvka O.: .Lectures in the seminar of Matematický ústav ČSAV, Brno. |
| Reference:
|
[5] Greguš M., Neuman F., Arscott F.: Three-point boundary value problems in differential equations.J. London Math. Soc. (2), 3 (1971), 429-436. MR 0283282 |
| Reference:
|
[6] Hochstadt H.: On the determination for a Hill's equation from its spectrum.Arch. Rational Mech. Anal., 19, No 5 (1965), 353-364. MR 0181792 |
| Reference:
|
[7] Якyбович B. A., Cтapжинский B. M.: Лuнeйныe дuффepeнцuaлъныe ypaвнeнuя c nepuoдuчecкuмu кoэффuцueнmaмu u ux npuлoжeнuя.Изд. „Hayкa", Mосквa 1970. |
| Reference:
|
[8] Magnus W., Winkler S.: Hill's Equation.Interscience Publishers, New York, 1966. Zbl 0158.09604, MR 0197830 |
| Reference:
|
[9] Neuman F.: On the Liouville transformation.Rend. Mat., Serie VI, 3 (1970), 1-8. Zbl 0241.34005, MR 0273090 |
| Reference:
|
[10] Ungar P.: Stable Hill equations.Comm. Pure Appl. Math., XIV (1961), 707-710. Zbl 0123.05005, MR 0176148 |
| . |
