| Title:
|
On transformations $z(t)=L(t)y(\phi(t))$ of functional-differential equations (English) |
| Author:
|
Tryhuk, Václav |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
49 |
| Issue:
|
5 |
| Year:
|
1999 |
| Pages:
|
515-530 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K05 |
| MSC:
|
34K17 |
| idZBL:
|
Zbl 0964.34061 |
| idMR:
|
MR1746898 |
| . |
| Date available:
|
2009-09-25T11:40:50Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132765 |
| . |
| Reference:
|
[1] ACZEL J.: Lectures on Functional Equations and Their Applications.Academic Press, New York, 19G6. MR 0208210 |
| Reference:
|
[2] ACZEL J.: Über Zusammenhänge zwischen Differential- und Funktionalgleichungen.Jahresber. Deutsch. Math.-Verein. 71 (1969), 55-57. Zbl 0175.45603, MR 0256014 |
| Reference:
|
[3] BORŮVKA O.: Linear Differential Transformations of the Second Order.The English Univ. Press, London, 1971. Zbl 0222.34002, MR 0463539 |
| Reference:
|
[4] ČERMÁK J.: Continuous transformations of differential equations with delays.Georgian Math. J. 2 (1995), 1-8. Zbl 0817.34036, MR 1310496 |
| Reference:
|
[5] MOÓR A.-PINTER L.: Untersuchungen Über den Zusammenhang von Differential- und Funktionalgleichungen.Publ. Math. Debrecen 13 (1966), 207-223. Zbl 0199.15301, MR 0206445 |
| Reference:
|
[6] 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:
|
[7] NEUMAN F.: Transformations and canonical forms of functional-differential equations.Proc. Roy. Soc. Edinburgh Sect. A 115 (1990), 349-357. MR 1069527 |
| Reference:
|
[8] NEUMAN F.: Global Properties of Linear Ordinary Differential Equations.Math. Appl. (East European Ser.) 52, Kluwer Acad. PuЪl., Dordrecht-Boston-London, 1991. Zbl 0784.34009, MR 1192133 |
| Reference:
|
[9] NEUMAN F.: On equivalence of linear functional-differential equations.Results Math. 26 (1994), 354-359. Zbl 0829.34054, MR 1300618 |
| Reference:
|
[10] TRYHUK V.: The most general transformations of homogeneous linear differential retarded equations of the first order.Arcһ. Math. (Brno) 16 (1980), 225-230. MR 0594470 |
| Reference:
|
[11] ТRYHUK V.: The most general transformation of homogeneous linear differential retarded equations of the nth order.Matһ. Slovaca 33 (1983), 15-21. MR 0689272 |
| Reference:
|
[12] ТRYHUK V.: Remark to transformations of linear differential and functional-differential equations.Czechoslovak Math. J. (Тo appear). |
| Reference:
|
[13] ТRYHUK V.: On global transformations of ordinary differential equations of the second order.Czechoslovak Math. J. (Тo appear). |
| Reference:
|
[14] ТRYHUK V.: On global transformations of functional-differential equations of the first order.Czechoslovak Math. J. (Тo appear). |
| Reference:
|
[15] ТRYHUK V.: On transformations z(t) = y(φ(t)) of ordinary differential equations.Czechoslovak Math. J. (Тo appear). |
| Reference:
|
[16] ТRYHUK V.: Transformations z(t) = L(t)y(φ(t)) of ordinary differential equations.Czechoslovak Math. J. (Тo appear). |
| Reference:
|
[17] ZDUN M.: Note on commutable functions.Aequationes Math. 36 (1988), 153-164. Zbl 0662.39004, MR 0972282 |
| Reference:
|
[18] ZDUN M.: On simultaneous Abel equations.Aequationes Math. 38 (1989), 163-177. Zbl 0686.39009, MR 1018910 |
| . |
