Note on simultaneous solutions of a system of Schröder's equations

Jan Čermák

Mathematica Bohemica (1995)

  • Volume: 120, Issue: 3, page 225-236
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Čermák, Jan. "Note on simultaneous solutions of a system of Schröder's equations." Mathematica Bohemica 120.3 (1995): 225-236. <http://eudml.org/doc/247788>.

@article{Čermák1995,
abstract = {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.},
author = {Čermák, Jan},
journal = {Mathematica Bohemica},
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; regular solutions; system of Schröder’s equations; functional-differential equations; initial set; initial point},
language = {eng},
number = {3},
pages = {225-236},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Note on simultaneous solutions of a system of Schröder's equations},
url = {http://eudml.org/doc/247788},
volume = {120},
year = {1995},
}

TY - JOUR
AU - Čermák, Jan
TI - Note on simultaneous solutions of a system of Schröder's equations
JO - Mathematica Bohemica
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 120
IS - 3
SP - 225
EP - 236
AB - 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.
LA - eng
KW - regular solutions; system of Schröder’s equations; functional-differential equations; initial set; initial point; functional equation; simultaneous solution; differential equation with delays; global transformation; regular solutions; system of Schröder’s equations; functional-differential equations; initial set; initial point
UR - http://eudml.org/doc/247788
ER -

References

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  1. J. Čermák, On transformations of functional-differential equations, Arch. Math. (Brno) 29 (1993), 227-234. (1993) MR1263124
  2. L. E. Eľsgolc, Intгoduction to the theory of differential equations with deviating argument, Nauka, Moscow, 1964. (In Russian.) (1964) 
  3. M. Kuczma, Functional Equations in a Single Variable, Polish Scient. Publ., Warszawa, 1968. (1968) Zbl0196.16403MR0228862
  4. M. Kuczma B. Choczewski R. Ger, Iterative Functional Equations, Encyclopedia of Mathematics and its Applications, Cambridge University Press, 1990. (1990) MR1067720
  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. (1982) Zbl0524.34070MR0669790
  6. F. Neuman, Transformation and canonical forms of functional-differential equation, Proc. Roy. Soc. Edinburgh 115A (1990), 349-357. (1990) MR1069527
  7. V. Tryhuk, The most general transformation of homogeneous retarded linear differential equations of the n-th order, Math. Slovaca 33 (1983), 15-21. (1983) Zbl0514.34058MR0689272
  8. M. Zdun, 10.1007/BF01836087, Aequationes Math. 36 (1988), 153-164. (1988) Zbl0662.39004MR0972282DOI10.1007/BF01836087
  9. M. Zdun, 10.1007/BF01840002, Aequationes Math. 38 (1989), 163-177. (1989) Zbl0686.39009MR1018910DOI10.1007/BF01840002

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