| Title:
|
Stationary groups of linear differential equations (English) |
| Author:
|
Neuman, František |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
34 |
| Issue:
|
4 |
| Year:
|
1984 |
| Pages:
|
645-663 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A25 |
| MSC:
|
58F37 |
| idZBL:
|
Zbl 0573.34028 |
| idMR:
|
MR764446 |
| DOI:
|
10.21136/CMJ.1984.101990 |
| . |
| Date available:
|
2008-06-09T15:03:05Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101990 |
| . |
| Reference:
|
[1] G. Blanton J. A. Baker: Iteration groups generated by $C^n$ functions.Archivum Math. (Brno), 18 (1982), 121-127. MR 0682099 |
| Reference:
|
[2] O. Borůvka: Lineare Differentialtransformationen 2.Ordnung, VEB, Berlin 1967, English edition: Linear Differential Transformations of the Second Order, The English Univ. Press, London 1971. |
| Reference:
|
[3] O. Borůvka: Sur une classe des groupes continus à un paramètre formés des functions réelles d'une variable.Ann. Polon Math. 42 (1982), 27-37. MR 0728067 |
| Reference:
|
[4] G. H. Halphen: Mémoire sur la réduction des équations différentielles linéaires aux formes intégrables.In: Mémoires présentés par divers savants à l'académie des sciences de l'institut de France 28 (1884), 1-301. |
| Reference:
|
[5] O. Hölder: Die Axiome der Quantität und die Lehre vom Masse.Ber. Verh. Sachs. Ges. Wiss. Leipzig, Math. Phys. Cl. 53 (1901), 1-64. |
| Reference:
|
[6] Z. Hustý: Die Iteration homogener linearer Differentialgleichungen.Publ. Fac. Sci. Univ. J. E. Purkyne (Brno), 449 (1964), 23-56. MR 0196166 |
| Reference:
|
[7] F. Neuman: Categorial approach to global transformations of the n-th order linear differential equations.Časopis Pěst. Mat. 102 (1977), 350-355. Zbl 0374.34028, MR 0477284 |
| Reference:
|
[8] F. Neuman: On solutions of the vector functional equation $y(\xi (x))=f(x)·A·y(x)$.Aequationes Math. 16 (1977), 245-257. MR 0467061, 10.1007/BF01836037 |
| Reference:
|
[9] F. Neuman: Criterion of global equivalence of linear differential equations.Proc. Roy. Soc. Edinburg, 97A (1984), 217-221. Zbl 0552.34009, MR 0751194 |
| Reference:
|
[10] F. Neuman: A survey of global properties of linear differential equations of the n-th order.In: Ordinary and Partial Differential Equations, Proceedings, Dundee 1982, Lecture Notes in Mathematics 964, 548-563. Zbl 0501.34003, MR 0693139 |
| Reference:
|
[11] J. Posluszny L.A. Rubel: The motion of an ordinary differential equation.J. Diff. Equations 34 (1979), 291-302. MR 0550047, 10.1016/0022-0396(79)90011-1 |
| Reference:
|
[12] P. Stāckel: Über Transformationen von Differentialgleichungen.J. Reine Angew. Math. 111 (1893), 290-302. |
| . |
