| Title:
|
On Halphen and Laguerre-Forsyth canonical forms of linear differential equations (English) |
| Author:
|
Neuman, František |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
26 |
| Issue:
|
2 |
| Year:
|
1990 |
| Pages:
|
147-154 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C20 |
| idZBL:
|
Zbl 0729.34008 |
| idMR:
|
MR1188274 |
| . |
| Date available:
|
2008-06-06T06:21:45Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107382 |
| . |
| Reference:
|
[1] J. M. Berkovich: Canonical forms of ordinary linear differential equations.Arch. Math. (Brno) 24 (1988), 25-42. Zbl 0672.34005, MR 0983005 |
| Reference:
|
[2] G. D. Birkhoff: On the solutions of ordinary linear homogeneous differential equations of the third order.Ann. of Math. 12 (1910/11), 103-123. |
| Reference:
|
[3] O. Borůvka: Lineare Differentialtransformationen 2. Ordnung.VEB, Berlin 1967; English edition: Linear Differential Transformations of the Second Order, The English Univ. Press, London 1971. MR 0463539 |
| Reference:
|
[4] M. Čadek: Form of general pointwise transformations of linear differential equations.Czechoslovak Math. J. 35 (110) (1985), 617-624. MR 0809044 |
| Reference:
|
[5] A. R. Forsyth: Invariants, covariants and quotient-derivatives associated with linear differential equations.Philos. Trans. Roy. Soc. London Ser. A, 179 (1899), 377-489. |
| Reference:
|
[6] G. H. Halphen: Mémoire sur la réduction des équations différentielles linéaires aux formes intégrables.Mémoires presented par divers savants á l'Académie des sciences de l'Institut de France 28 (1884), 1-307. |
| Reference:
|
[7] Z. Hustý: Die Iteration homogener linearer Differentialgleichungen.Publ. Fac. Sci. Univ. J. E. Purkyně (Brno) 449 (1964), 23-56. MR 0196166 |
| Reference:
|
[8] E. Laguerre: Sur les équations différentielles linéaires du troisième ordre.C. R. Acad. Sci. Paris 88 (1879), 116-118. |
| Reference:
|
[9] F. Neuman: Geometrical approach to linear differential equations of the n-th order.Rend. Mat. 5 (1972), 579-602. (Abstract: Some results on geometrical approach to linear differential equations of the n-th order. Comment. Math. Univ. Carolin. 12 (1971), 307-315). Zbl 0257.34029, MR 0288337 |
| Reference:
|
[10] F. Neuman: Global canonical forms of linear differential equations.Math. Slovaca 33 (1983), 389-394. MR 0720509 |
| Reference:
|
[11] F. Neuman: Criterion of global equivalence of linear differential equations.Proc. Roy. Soc. Edinburgh Sect. A 97 (1984), 217-221. Zbl 0552.34009, MR 0751194 |
| Reference:
|
[12] F. Neuman: Global theory of ordinary linear homogeneous differential equations in the real domain.I and II, Aequationes Math. 33 and 34 (1987), 123-149 and 1-22. Zbl 0676.34007, MR 0915867 |
| Reference:
|
[13] P. Stäckel: Über Transformationen von Differentialgleichungen.J. Reine Angew. Math. 111 (1893), 290-302. |
| Reference:
|
[14] E. J. Wilczynski: Projective differential geometry of curves and ruled surfaces.Teubner, Leipzig, 1906. |
| . |
