List questions from functional-equations

Published on 30 Jan 2014 - 22:03

152

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Functional Equation : $f(x) = f(x + y^2 + f(y))$

Published on 02 Feb 2014 - 5:51

60

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Solutions to $g(ab) = ag(b) + bg(a)$ - "Zero function question"

Published on 11 Feb 2014 - 9:04

363

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Find all functions ${\rm f} :{ \mathbb R}_{+}\to{ \mathbb R}_{+}$

Published on 12 Feb 2014 - 19:23

76

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What is the family of functions that satisfies

Published on 13 Feb 2014 - 11:10

1.6k

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On a function with a (complicated) functional equation.

Published on 15 Feb 2014 - 15:29

125

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Satisfying Functional Equations

Published on 15 Feb 2014 - 17:23

250

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Non trivial solutions of $g\circ f-f\circ g=g\circ f\circ g$

Published on 17 Feb 2014 - 15:41

810

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$f(f(x))=f(x)$ question

Published on 30 Mar 2026 - 3:54

91

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Functional equation of function defined over non-negative reals satisfying $f \big(xf(y)\big)f(y)=f(x+y)$, $f(2)=0$ and $f(x)\ne0$ for $x\in[0, 2)$

Published on 19 Feb 2014 - 10:34

20.2k

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Functional equations $f(x+y)= f(x) + f(y)$ and $f(xy)= f(x)f(y)$

Published on 20 Feb 2014 - 22:07

420

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Why is every such function constant: $f(x)=f(x^2)$ for $x \in [0,1]$?

Published on 21 Feb 2014 - 15:20

133

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Find all function satisfying a condition with $\min$ and $\max$

Published on 21 Feb 2014 - 22:36

713

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Find $g(x)$ if $f(g(x))=f(x)g(x)$ and $g(2)$=37, $f(x)$ and $g(x)$ are polynomials

Published on 22 Feb 2014 - 15:07

115

Views

Functional inequality and one identity

Published on 27 Mar 2026 - 0:00

List Question

Finding Inverse of Function With Two Instances of X

Functional Equation : $f(x) = f(x + y^2 + f(y))$

Solutions to $g(ab) = ag(b) + bg(a)$ - "Zero function question"

Find all functions ${\rm f} :{ \mathbb R}_{+}\to{ \mathbb R}_{+}$

What is the family of functions that satisfies

On a function with a (complicated) functional equation.

Satisfying Functional Equations

Non trivial solutions of $g\circ f-f\circ g=g\circ f\circ g$

$f(f(x))=f(x)$ question

Functional equation of function defined over non-negative reals satisfying $f \big(xf(y)\big)f(y)=f(x+y)$, $f(2)=0$ and $f(x)\ne0$ for $x\in[0, 2)$

Functional equations $f(x+y)= f(x) + f(y)$ and $f(xy)= f(x)f(y)$

Why is every such function constant: $f(x)=f(x^2)$ for $x \in [0,1]$?

Find all function satisfying a condition with $\min$ and $\max$

Find $g(x)$ if $f(g(x))=f(x)g(x)$ and $g(2)$=37, $f(x)$ and $g(x)$ are polynomials

Functional inequality and one identity

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