List questions from functional-equations

Published on 15 Apr 2026 - 6:20

48

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Can we plug a linear sequence of real numbers into the sine function such that the resulting sequence will be a one-to-one sequence?

Published on 13 Apr 2026 - 16:04

243

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Indicator Function appearing when solving functional equation

Published on 12 Apr 2026 - 7:52

77

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When do there exist two functions that satisfy the equation?

Published on 14 Apr 2026 - 2:46

116

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What is this property to be called?

Published on 15 Apr 2026 - 9:59

177

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Functional equation $3f(-3x) -f(x) = 3x^2$

Published on 13 Apr 2026 - 8:23

103

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$f(x^2+yf(x))=xf(x+y)$.Find f

Published on 16 Apr 2026 - 12:59

82

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A question about polynomial function equations

Published on 11 Apr 2026 - 1:14

112

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Is this theorem true?

Published on 13 Apr 2026 - 6:38

568

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Find $f(f(\cdots f(x)))=p(x)$

Published on 04 May 2026 - 18:37

168

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Proving that a function is additive in a functional equation

Published on 11 Apr 2026 - 7:14

102

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$f(x)=\max_{0\le y\le 1}\frac{|x-y|}{x+y+1}$

Published on 17 Apr 2026 - 4:38

149

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Functional Equation $f\Big(y\,\big(f(x)\big)^2\Big)=x^3\,f(xy)$

Published on 15 Apr 2026 - 16:43

120

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Equation of function s.t., $f(x^2)+2f(x)=0$

Published on 16 Apr 2026 - 0:10

1.5k

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Find a function such that $f^{-1}=f'$

Published on 16 Apr 2026 - 15:51

List Question

Solutions of $f(x+y^{n})=f(x)+[f(y)]^{n}$.

Can we plug a linear sequence of real numbers into the sine function such that the resulting sequence will be a one-to-one sequence?

Indicator Function appearing when solving functional equation

When do there exist two functions that satisfy the equation?

What is this property to be called?

Functional equation $3f(-3x) -f(x) = 3x^2$

$f(x^2+yf(x))=xf(x+y)$.Find f

A question about polynomial function equations

Is this theorem true?

Find $f(f(\cdots f(x)))=p(x)$

Proving that a function is additive in a functional equation

$f(x)=\max_{0\le y\le 1}\frac{|x-y|}{x+y+1}$

Functional Equation $f\Big(y\,\big(f(x)\big)^2\Big)=x^3\,f(xy)$

Equation of function s.t., $f(x^2)+2f(x)=0$

Find a function such that $f^{-1}=f'$

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