On the Schröder equation

M. Kuczma

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1963

Abstract

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CONTENTSPART IIntroduction............................................................................................... 31. General solution.................................................................................. 42. Preliminaries and notation................................................................ 53. C p solutions in ℭ *................................................ 74. Change of variables........................................................................... 135. Continuous solutions in ℭ ....................................... 156. C p solutions in a neighbourhood of the origin....................... 187. Final comments.................................................................................. 26PART II8. Introductory remarks.......................................................................... 289. C 1 solutions.................................................................................. 3010. Monotonic solutions......................................................................... 3511. Monotonic solutions of the equation ϱ[f(x)] — ϱ(x) = h(x)........... 3612. Convex solutions............................................................................... 3813. Local C p transformations of the real line............................... 4314. Iterations and commuting functions.............................................. 45REFERENCES

How to cite

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M. Kuczma. On the Schröder equation. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1963. <http://eudml.org/doc/268521>.

@book{M1963,
abstract = {CONTENTSPART IIntroduction............................................................................................... 31. General solution.................................................................................. 42. Preliminaries and notation................................................................ 53. $C^p$ solutions in $\mathfrak \{C\}$*................................................ 74. Change of variables........................................................................... 135. Continuous solutions in $\mathfrak \{C\}$....................................... 156. $C^p$ solutions in a neighbourhood of the origin....................... 187. Final comments.................................................................................. 26PART II8. Introductory remarks.......................................................................... 289. $C^1$ solutions.................................................................................. 3010. Monotonic solutions......................................................................... 3511. Monotonic solutions of the equation ϱ[f(x)] — ϱ(x) = h(x)........... 3612. Convex solutions............................................................................... 3813. Local $C^p$ transformations of the real line............................... 4314. Iterations and commuting functions.............................................. 45REFERENCES},
author = {M. Kuczma},
keywords = {functional analysis},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {On the Schröder equation},
url = {http://eudml.org/doc/268521},
year = {1963},
}

TY - BOOK
AU - M. Kuczma
TI - On the Schröder equation
PY - 1963
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSPART IIntroduction............................................................................................... 31. General solution.................................................................................. 42. Preliminaries and notation................................................................ 53. $C^p$ solutions in $\mathfrak {C}$*................................................ 74. Change of variables........................................................................... 135. Continuous solutions in $\mathfrak {C}$....................................... 156. $C^p$ solutions in a neighbourhood of the origin....................... 187. Final comments.................................................................................. 26PART II8. Introductory remarks.......................................................................... 289. $C^1$ solutions.................................................................................. 3010. Monotonic solutions......................................................................... 3511. Monotonic solutions of the equation ϱ[f(x)] — ϱ(x) = h(x)........... 3612. Convex solutions............................................................................... 3813. Local $C^p$ transformations of the real line............................... 4314. Iterations and commuting functions.............................................. 45REFERENCES
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/268521
ER -

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