| Title:
|
Remark to transformations of linear differential and functional-differential equations (English) |
| Author:
|
Tryhuk, Václav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
50 |
| Issue:
|
2 |
| Year:
|
2000 |
| Pages:
|
265-278 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For linear differential and functional-differential equations of the $n$-th order criteria of equivalence with respect to the pointwise transformation are derived. (English) |
| Keyword:
|
ordinary differential equations |
| Keyword:
|
functional-differential equations |
| Keyword:
|
transformations |
| MSC:
|
34A25 |
| MSC:
|
34A30 |
| MSC:
|
34A34 |
| MSC:
|
34C41 |
| MSC:
|
34K05 |
| MSC:
|
34K06 |
| MSC:
|
34K15 |
| idZBL:
|
Zbl 1057.34040 |
| idMR:
|
MR1761386 |
| . |
| Date available:
|
2009-09-24T10:32:30Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127568 |
| . |
| Reference:
|
[n1] Borůvka, O.: Linear Differential Transformations of the Second Order.The English Univ. Press, London, 1971. MR 0463539 |
| Reference:
|
[n2] Čermák, J.: Continuous transformations of differential equations with delays.Georgian Math. J. 2 (1995), 1–8. MR 1310496, 10.1007/BF02257729 |
| Reference:
|
[n3] Neuman, F.: On transformations of differential equations and systems with deviating argument.Czechoslovak Math. J. 31(106) (1981), 87–90. Zbl 0463.34051, MR 0604115 |
| Reference:
|
[n4] Neuman, F.: Simultaneous solutions of a system of Abel equations and differential equations with several delays.Czechoslovak Math. J. 32(107) (1982), 488–494. MR 0669790 |
| Reference:
|
[n5] Neuman, F.: Transformations and canonical forms of functional-differential equations.Proc. Roy. Soc. Edinburgh 115 A (1990), 349–357. MR 1069527 |
| Reference:
|
[n6] Neuman, F.: Global Properties of Linear Ordinary Differential Equations.Mathematics and Its Applications (East European Series) 52, Kluwer Acad. Publ., Dordrecht-Boston-London, 1991. Zbl 0784.34009, MR 1192133 |
| Reference:
|
[n7] Neuman, F.: On equivalence of linear functional-differential equations.Results Math. 26 (1994), 354–359. Zbl 0829.34054, MR 1300618, 10.1007/BF03323059 |
| Reference:
|
[n8] Tryhuk, V.: The most general transformation of homogeneous linear differential retarded equations of the $n$-th order.Math. Slovaca 33 (1983), 15–21. MR 0689272 |
| Reference:
|
[n9] Wilczynski, E.J.: Projective differential geometry of curves and ruled spaces.Teubner, Leipzig, . |
| . |
