| Title:
|
Note on simultaneous solutions of a system of Schröder's equations (English) |
| Author:
|
Čermák, Jan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
120 |
| Issue:
|
3 |
| Year:
|
1995 |
| Pages:
|
225-236 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate simultaneous solutions of a system of Schroder's functional equations. Under certain assumptions these solutions are used in transformations of functional-differential equations the initial set of which consists of the initial point only. (English) |
| Keyword:
|
regular solutions |
| Keyword:
|
system of Schröder’s equations |
| Keyword:
|
functional-differential equations |
| Keyword:
|
initial set |
| Keyword:
|
initial point |
| Keyword:
|
functional equation |
| Keyword:
|
simultaneous solution |
| Keyword:
|
differential equation with delays |
| Keyword:
|
global transformation |
| MSC:
|
34K05 |
| MSC:
|
39B05 |
| MSC:
|
39B62 |
| idZBL:
|
Zbl 0848.39006 |
| idMR:
|
MR1369682 |
| DOI:
|
10.21136/MB.1995.126006 |
| . |
| Date available:
|
2009-09-24T21:11:04Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126006 |
| . |
| Reference:
|
[1] J. Čermák: On transformations of functional-differential equations.Arch. Math. (Brno) 29 (1993), 227-234. MR 1263124 |
| Reference:
|
[2] L. E. Eľsgolc: Intгoduction to the theory of differential equations with deviating argument.Nauka, Moscow, 1964. (In Russian.) |
| Reference:
|
[3] M. Kuczma: Functional Equations in a Single Variable.Polish Scient. Publ., Warszawa, 1968. Zbl 0196.16403, MR 0228862 |
| Reference:
|
[4] M. Kuczma B. Choczewski R. Ger: Iterative Functional Equations.Encyclopedia of Mathematics and its Applications, Cambridge University Press, 1990. MR 1067720 |
| Reference:
|
[5] F. Neuman: Simultaneous solutions of a system of Abel equations and differential equations with several deviations.Czechoslovak Math. J. 32 (107) (1982), 488-494. Zbl 0524.34070, MR 0669790 |
| Reference:
|
[6] F. Neuman: Transformation and canonical forms of functional-differential equation.Proc. Roy. Soc. Edinburgh 115A (1990), 349-357. MR 1069527 |
| Reference:
|
[7] V. Tryhuk: The most general transformation of homogeneous retarded linear differential equations of the n-th order.Math. Slovaca 33 (1983), 15-21. Zbl 0514.34058, MR 0689272 |
| Reference:
|
[8] M. Zdun: Note on commutable functions.Aequationes Math. 36 (1988), 153-164. Zbl 0662.39004, MR 0972282, 10.1007/BF01836087 |
| Reference:
|
[9] M. Zdun: On simultaneous Abel equations.Aequationes Math. 38 (1989), 163-177. Zbl 0686.39009, MR 1018910, 10.1007/BF01840002 |
| . |
