Note on simultaneous solutions of a system of Schröder's equations
Mathematica Bohemica, Tome 120 (1995) no. 3, pp. 225-236

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
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.
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.
DOI : 10.21136/MB.1995.126006
Classification : 34K05, 39B05, 39B62
Keywords: regular solutions; system of Schröder’s equations; functional-differential equations; initial set; initial point; functional equation; simultaneous solution; differential equation with delays; global transformation
Čermák, Jan. Note on simultaneous solutions of a system of Schröder's equations. Mathematica Bohemica, Tome 120 (1995) no. 3, pp. 225-236. doi: 10.21136/MB.1995.126006
@article{10_21136_MB_1995_126006,
     author = {\v{C}erm\'ak, Jan},
     title = {Note on simultaneous solutions of a system of {Schr\"oder's} equations},
     journal = {Mathematica Bohemica},
     pages = {225--236},
     year = {1995},
     volume = {120},
     number = {3},
     doi = {10.21136/MB.1995.126006},
     mrnumber = {1369682},
     zbl = {0848.39006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1995.126006/}
}
TY  - JOUR
AU  - Čermák, Jan
TI  - Note on simultaneous solutions of a system of Schröder's equations
JO  - Mathematica Bohemica
PY  - 1995
SP  - 225
EP  - 236
VL  - 120
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1995.126006/
DO  - 10.21136/MB.1995.126006
LA  - en
ID  - 10_21136_MB_1995_126006
ER  - 
%0 Journal Article
%A Čermák, Jan
%T Note on simultaneous solutions of a system of Schröder's equations
%J Mathematica Bohemica
%D 1995
%P 225-236
%V 120
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1995.126006/
%R 10.21136/MB.1995.126006
%G en
%F 10_21136_MB_1995_126006

[1] J. Čermák: On transformations of functional-differential equations. Arch. Math. (Brno) 29 (1993), 227-234. | MR

[2] L. E. Eľsgolc: Intгoduction to the theory of differential equations with deviating argument. Nauka, Moscow, 1964. (In Russian.)

[3] M. Kuczma: Functional Equations in a Single Variable. Polish Scient. Publ., Warszawa, 1968. | MR | Zbl

[4] M. Kuczma B. Choczewski R. Ger: Iterative Functional Equations. Encyclopedia of Mathematics and its Applications, Cambridge University Press, 1990. | MR

[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. | MR | Zbl

[6] F. Neuman: Transformation and canonical forms of functional-differential equation. Proc. Roy. Soc. Edinburgh 115A (1990), 349-357. | MR

[7] V. Tryhuk: The most general transformation of homogeneous retarded linear differential equations of the n-th order. Math. Slovaca 33 (1983), 15-21. | MR | Zbl

[8] M. Zdun: Note on commutable functions. Aequationes Math. 36 (1988), 153-164. | DOI | MR | Zbl

[9] M. Zdun: On simultaneous Abel equations. Aequationes Math. 38 (1989), 163-177. | DOI | MR | Zbl

Cité par Sources :