List questions from functional-equations

102

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Let ℝ+ be the set of positive numbers. Determine all functions $f:\mathbb R^+\to\mathbb R^+$ such that $f(x^2+xf(y)) = f(f(x))(x+y)$

Published on 10 Sep 2023 - 5:09

176

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Calculating the functional derivative of an implicit functional

Published on 29 Mar 2026 - 4:48

56

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Solving "time evolution" partial differential eq using Lagrange shift operator

Published on 29 Mar 2026 - 10:18

94

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Increasing functions for natural numbers

Published on 15 Sep 2023 - 6:34

97

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Must this function necessarily be decreasing?

Published on 28 Mar 2026 - 15:18

20

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Looking for a Functional Form Satisfying Certain NonLinearites

Published on 26 Mar 2026 - 11:05

74

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functional equation polynomial with real roots

Published on 21 Sep 2023 - 17:39

86

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Is there a name for equations like $f(n) = f^{(n)}(0) $?

Published on 27 Sep 2023 - 9:31

137

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Analysis of the functional inequality $f(x-s)f(y+s) \geq f(x)f(y)$

Published on 26 Mar 2026 - 6:01

103

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IMO problem from 1993 on functional equations

Published on 28 Sep 2023 - 7:56

58

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Alternate solution to an IMO 1993 problem

Published on 28 Sep 2023 - 12:07

59

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Doubt in an alternate solution to an IMO problem from 1987

Published on 28 Sep 2023 - 12:56

125

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Solutions to $f(x^2) = 2f(x)^2-1$

Published on 28 Sep 2023 - 20:43

556

Views

$f(xy) = f(x+y)$ : A variation of an old problem

Published on 29 Sep 2023 - 16:07

116

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Given analytic $F(x)$ find $f(x)$ such that $\forall x. F(x) = f(f(x))$

Published on 28 Mar 2026 - 14:06

List Question

Let ℝ+ be the set of positive numbers. Determine all functions $f:\mathbb R^+\to\mathbb R^+$ such that $f(x^2+xf(y)) = f(f(x))(x+y)$

Calculating the functional derivative of an implicit functional

Solving "time evolution" partial differential eq using Lagrange shift operator

Increasing functions for natural numbers

Must this function necessarily be decreasing?

Looking for a Functional Form Satisfying Certain NonLinearites

functional equation polynomial with real roots

Is there a name for equations like $f(n) = f^{(n)}(0) $?

Analysis of the functional inequality $f(x-s)f(y+s) \geq f(x)f(y)$

IMO problem from 1993 on functional equations

Alternate solution to an IMO 1993 problem

Doubt in an alternate solution to an IMO problem from 1987

Solutions to $f(x^2) = 2f(x)^2-1$

$f(xy) = f(x+y)$ : A variation of an old problem

Given analytic $F(x)$ find $f(x)$ such that $\forall x. F(x) = f(f(x))$

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