List questions from functional-equations

Published on 14 Jul 2018 - 11:57

45

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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 14 Jul 2018 - 16:41

240

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Indicator Function appearing when solving functional equation

Published on 14 Jul 2018 - 22:44

74

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When do there exist two functions that satisfy the equation?

Published on 15 Jul 2018 - 22:22

113

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What is this property to be called?

Published on 16 Jul 2018 - 23:56

175

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

Published on 25 Mar 2026 - 17:26

100

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

Published on 18 Jul 2018 - 4:54

80

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A question about polynomial function equations

Published on 18 Jul 2018 - 12:53

109

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Is this theorem true?

Published on 18 Jul 2018 - 16:42

563

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

Published on 25 Mar 2026 - 6:38

165

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Proving that a function is additive in a functional equation

Published on 20 Jul 2018 - 10:05

99

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

Published on 21 Jul 2018 - 5:02

146

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

Published on 24 Jul 2018 - 20:16

117

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

Published on 25 Jul 2018 - 19:08

1.5k

Views

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

Published on 27 Jul 2018 - 7:16

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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