List questions from functional-equations

Published on 03 Nov 2015 - 16:23

272

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How to prove a function is periodic from a given functional equation?

Published on 04 Nov 2015 - 13:41

41

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Determine formula to calculate inverse range between two numbers

Published on 07 Nov 2015 - 0:39

179

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How can one show that$f(x^n)=nf(x)$

Published on 11 Nov 2015 - 9:07

170

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Solve the functional equation (medium-hard)

Published on 11 Nov 2015 - 13:30

125

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Functional equation $f(x^3) - f(x^3 - 2) = (f(x))^2 + 12$

Published on 12 Nov 2015 - 0:09

473

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Cauchy's functional equation for involutions: $ f ( x + y ) = f ( x ) + f ( y ) $ and $ f \big( f ( x ) \big) = x $

Published on 12 Nov 2015 - 18:53

105

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Functional inequality $f(y)+xf(x)≤yf(x)+f(f(x))$

Published on 03 Apr 2026 - 20:02

115

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Express $y$ from $\ln(x)+3\ln(y) = y$

Published on 13 Nov 2015 - 18:21

162

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How can I find $f(3)$ if $f(2x)=f^2(x)-2f(x)-\frac{1}{2}$?

Published on 14 Nov 2015 - 6:37

98

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Functional equations vs. Mathematical ZFC models

Published on 25 Feb 2026 - 0:25

63

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Functional equaliton on continuous function $f:[0,1]\to \mathbb{R}$

Published on 15 Nov 2015 - 15:59

141

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Minimizing $\int_{0}^{1} (1+x^2)f(x)^2 dx$ for $f(f(x)) = x^2$

Published on 15 Nov 2015 - 21:41

27

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How to convert $\ max \int_{-\infty}^{\infty} f(x) dx =\ min \int_{-\infty}^{\infty} g(x) dx $

Published on 15 Nov 2015 - 22:42

178

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Find all real polynomials $P(x)$ which satisfy the equation$ P(x)P(-x)=P(x^2-1)$

Published on 16 Nov 2015 - 6:40

List Question

Re-arrangement of equation

How to prove a function is periodic from a given functional equation?

Determine formula to calculate inverse range between two numbers

How can one show that$f(x^n)=nf(x)$

Solve the functional equation (medium-hard)

Functional equation $f(x^3) - f(x^3 - 2) = (f(x))^2 + 12$

Cauchy's functional equation for involutions: $ f ( x + y ) = f ( x ) + f ( y ) $ and $ f \big( f ( x ) \big) = x $

Functional inequality $f(y)+xf(x)≤yf(x)+f(f(x))$

Express $y$ from $\ln(x)+3\ln(y) = y$

How can I find $f(3)$ if $f(2x)=f^2(x)-2f(x)-\frac{1}{2}$?

Functional equations vs. Mathematical ZFC models

Functional equaliton on continuous function $f:[0,1]\to \mathbb{R}$

Minimizing $\int_{0}^{1} (1+x^2)f(x)^2 dx$ for $f(f(x)) = x^2$

How to convert $\ max \int_{-\infty}^{\infty} f(x) dx =\ min \int_{-\infty}^{\infty} g(x) dx $

Find all real polynomials $P(x)$ which satisfy the equation$ P(x)P(-x)=P(x^2-1)$

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