| Title:
|
On non-existence of periodic solutions of an important differential equation (English) |
| Author:
|
Matas, Vladimír |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
18 |
| Issue:
|
4 |
| Year:
|
1973 |
| Pages:
|
213-226 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The equations of variation with respect to the straight-lineequilibrium points $L_1,L_2,L_3$ of the elliptic three-dimensional restricted problem of three bodies are equivalent to a system of two differential equations of the second order and one Hill's equation. In the paper presented here, this Hill's equation is studied and a proof is given that this differential equation has no nontrivial periodic solution. () |
| MSC:
|
34B30 |
| MSC:
|
34C25 |
| MSC:
|
70F10 |
| idZBL:
|
Zbl 0268.34048 |
| idMR:
|
MR0320443 |
| DOI:
|
10.21136/AM.1973.103474 |
| . |
| Date available:
|
2008-05-20T17:56:23Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103474 |
| . |
| Reference:
|
[1] Г. H. Дубошин: Небесная механика, Аналитические и качественные методы.Издательство Наука, Москва, 1964. Zbl 1117.65300 |
| Reference:
|
[2] H. Hochstadt: Differential Equations, A Modern Approach.Holt, Rinehart and Winston, New York, Chicago, San Francisco, Toronto, London, 1964. Zbl 0128.30501, MR 0209536 |
| Reference:
|
[3] A. Kufner J. Kadlec: Fourier Series.Academia, Prague, 1971. MR 0393989 |
| . |
