MiniLogo

EqWorld

The World of Mathematical Equations

IPM Logo

Exact Solutions Methods Software For Authors Math Forums

EqArchive: Add Equation/Solution > View Equation

 English only

View Equation

The database contains 327 equations (8 equations are awaiting activation).

Equation data
Category:6. Difference and Functional Equations
Subcategory:6.1. Linear Equations in One Independent Variable
Equation(s):$\displaystyle y(f(x))=s f(x)$.\hfill\break
Solution(s),
Transformation(s),
Integral(s)
:
Solution:\hfill\break
$\displaystyle y(x)=C\lim_{n\to\infty}\frac{f^{[n]}(x)}{s^n}$,\hfill}

where $C=y'(0)$.
Remarks:Regular solution of the Schroeder equation.
Novelty:Material has been fully published elsewhere
References:Kuczma M. Functional equations in a single variable. Warszawa, 1968 p.137
Author/Contributor's Details
Last name:Ilya
First name:Chernykh
Country:Russia
Statistic information
Submission date:Wed 09 Dec 2009 11:00
Edits by author:1
Last edit by author:Thu 11 Feb 2010 14:52

Edit (Only for author/contributor)


The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations, partial differential equations, integral equations, functional equations, and other mathematical equations.

Copyright © 2006-2011 Andrei D. Polyanin, Alexei I. Zhurov and Alexander L. Levitin