| Title:
|
Categorial approach to global transformations of the $n$-th order linear differential equations (English) |
| Author:
|
Neuman, František |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
102 |
| Issue:
|
4 |
| Year:
|
1977 |
| Pages:
|
350-355 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C20 |
| idZBL:
|
Zbl 0374.34028 |
| idMR:
|
MR0477284 |
| DOI:
|
10.21136/CPM.1977.108526 |
| . |
| Date available:
|
2009-09-23T08:50:54Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108526 |
| . |
| Reference:
|
[1] O. Borůvka: Linear differential transformations of the second order.The English Univ. Press, London 1971. MR 0463539 |
| Reference:
|
[2] O. Borůvka: Teopия глобальных свойств обыкновенных линейных дифференциальных уравнений второго порядка.Дифференциальные уравнения 12 (1976), 1347-1383. |
| Reference:
|
[3J M. Hasse & L. Michler: Theorie der Kategorien.VEB, Berlin 1966. MR 0213411 |
| Reference:
|
[4] E. E. Kummer: De generali quadam aequatione differentiali tertii ordinis.Progr. Evang. Royal & State Gymnasium, reprinted in J. Reine Angew. Math. (Crelle Journal) I00 (1887), 1-10. |
| Reference:
|
[5] M. Laguerre: Sur les equations differentielles lineaires du troisieme ordere.Comptes rendus S3 (1879), 116-119. |
| Reference:
|
[6] F. Neuman: Geometrical approach to linear differential equations of the 11-th order.Rend. Mat. 4 (1972), 579-602. MR 0324141 |
| Reference:
|
[7] F. Neuman: Global transformations of linear differential equations of the n-th order.Kniž- nice odb. a věd. spisu VUT Brno, B-56 (1975), 165-171. Zbl 0337.34015, MR 0382768 |
| Reference:
|
[8] F. Neuman: $L^2$-solutions of $y'' = q(t)y$ and a functional equation.Aequationes Math. 6 (1971), 162-169. MR 0291562 |
| Reference:
|
[9] F. Neuman: A role of Abel's equation in]the stability theory of differential equations.Aequationes Math. 6 (1971), 66-70. Zbl 0215.43803, MR 0299899 |
| Reference:
|
[10] F. Neuman: Distribution of zeros of solutions of $y'' = q(t)y$ in relation to their behaviour in large.Studia Sci. Math. Hungar. 8 (1973), 177-185. Zbl 0286.34050, MR 0333344 |
| Reference:
|
[11] F. Neuman: On a problem of transformations between limit-circle and limit-point differen- tial equations.Proc. Roy. Soc. Edinbutgh, Sect. A. 72 (1973/74), 187-193. MR 0385226 |
| Reference:
|
[12] F. Neuman: On solutions of the vector functional equation $y(\xi((x)) = f(x)\cdot A \cdot y(x)$.to appear in Aequationes Math. I5 (1977). Zbl 0375.34013, MR 0467061 |
| Reference:
|
[13] P. Stackel: Ober Transformationen von Differentialgleichungen.J. Reine Angew. Math. (Crelle Journal) III (1893), 290-302. |
| Reference:
|
[14] J. Tabor: Characterization of subgroupoids of a given groupoid.Tensor 29 (1975), 64-68. Zbl 0294.20053, MR 0382532 |
| Reference:
|
[15] E. J. Wilczynski: Projective differential geometry of curves and ruled surfaces.Teubner - Leipzig 1906. |
| . |
