List questions from functional-equations

Published on 10 Apr 2026 - 7:21

64

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Why should $ s \in ( 0 , 1 ) $ for splinter to be approximately geometric?

Published on 15 Apr 2026 - 6:13

155

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$f:\mathbb{C} \rightarrow \mathbb{C}$ such that $f\circ f = \exp$

Published on 15 Apr 2026 - 3:55

103

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If $f(x) + f(1 - 1/x) = \ln|x| $ find $\int_0^1 f(x) dx $

Published on 02 Jun 2021 - 11:30

393

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Functional equation $f(x^2+y^2)=f(x^2-y^2)+2xy \quad \forall\; x,y\in\Bbb R$

Published on 15 Apr 2026 - 3:24

157

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Ramanujan's Nested radical Inequality

Published on 13 Apr 2026 - 21:46

167

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Find all $f : \mathbb R\to\mathbb R$ such that $f(f(x+y)) = f(x+y) + f(x)f(y) -xy$

Published on 08 Jun 2021 - 6:02

148

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How can I solve $1-F(x)=F(F'(x))$, a particular functional differential equation?

Published on 13 Apr 2026 - 12:33

125

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functional equation with improper integral

Published on 09 Apr 2026 - 15:30

109

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Properties of functions $f(g,\beta\alpha,k+n)=f(g^\alpha,\beta,k)f(g,\alpha,n)$ and outer semi-direct products.

Published on 30 Mar 2026 - 15:00

22

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the solvability of an operator equation of the second kind

Published on 12 Apr 2026 - 22:21

52

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Different functional equations than Cauchy type? $2f(xy)=f(x)+f(y)$

Published on 15 Apr 2026 - 10:32

69

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Substituting variables in integral functional equations

Published on 11 Apr 2026 - 13:37

152

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Let's find solutions to two functional differential equations

Published on 15 Apr 2026 - 5:39

440

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A function is called nice

Published on 13 Apr 2026 - 1:52

List Question

Functional equation which might be related to some DE

Why should $ s \in ( 0 , 1 ) $ for splinter to be approximately geometric?

$f:\mathbb{C} \rightarrow \mathbb{C}$ such that $f\circ f = \exp$

If $f(x) + f(1 - 1/x) = \ln|x| $ find $\int_0^1 f(x) dx $

Functional equation $f(x^2+y^2)=f(x^2-y^2)+2xy \quad \forall\; x,y\in\Bbb R$

Ramanujan's Nested radical Inequality

Find all $f : \mathbb R\to\mathbb R$ such that $f(f(x+y)) = f(x+y) + f(x)f(y) -xy$

How can I solve $1-F(x)=F(F'(x))$, a particular functional differential equation?

functional equation with improper integral

Properties of functions $f(g,\beta\alpha,k+n)=f(g^\alpha,\beta,k)f(g,\alpha,n)$ and outer semi-direct products.

the solvability of an operator equation of the second kind

Different functional equations than Cauchy type? $2f(xy)=f(x)+f(y)$

Substituting variables in integral functional equations

Let's find solutions to two functional differential equations

A function is called nice

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