List questions from functional-equations

Published on 01 Apr 2026 - 0:51

169

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why this function is even function

Published on 19 Oct 2015 - 4:33

461

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How to state a recurrence equation for running time of a divide-and-conquer algorithm

Published on 31 Mar 2026 - 18:21

89

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Find the period of a function $\varphi:\mathbb{R}\backslash\{3\}\to \mathbb{R}$

Published on 20 Oct 2015 - 2:27

482

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How to solve a functional differential equation?

Published on 20 Oct 2015 - 15:47

45

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Functional Equation Different Substitution Different Result

Published on 21 Oct 2015 - 14:10

181

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$f: [0,1] \to [0,1]$ is injective & $ f(2x-f(x))=x$ for $x \in [0,1]$ then $f(x)=x $

Published on 21 Oct 2015 - 15:28

131

Views

Solving $f(x)=f(\frac{1}{x}),\,\,\,x>0$

Published on 23 Oct 2015 - 0:49

118

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Can any functions be expressed in one formula? (without conditions)

Published on 29 Mar 2026 - 2:10

536

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Extremal of a functional $I=\int\limits_0^{x_1} y^2(y')^2dx$

Published on 03 Apr 2026 - 16:51

42

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Observation about convergent functions?

Published on 23 Oct 2015 - 23:08

96

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Can one do anything useful with a functional equation like $g(x^2) = \frac{4x^2-1}{2x^2+1}g(x)$?

Published on 24 Oct 2015 - 21:38

137

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Polynimials $P(x)$ and $Q(x)$ satisfying $P(x^2+1)=(Q(x))^2+2x, Q(x^2+1)=(P(x))^2$

Published on 26 Oct 2015 - 16:28

96

Views

Solve the functional equation $f(x) + f(x^2) = 2$

Published on 28 Oct 2015 - 17:01

100

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If $g(x) = \frac{x}{x+1}$, and $f\circ g(x) = x^2$, find $f(x)$?

Published on 01 Nov 2015 - 22:03

List Question

Show that $y^n+1/y^n \in \mathbb{N}$

why this function is even function

How to state a recurrence equation for running time of a divide-and-conquer algorithm

Find the period of a function $\varphi:\mathbb{R}\backslash\{3\}\to \mathbb{R}$

How to solve a functional differential equation?

Functional Equation Different Substitution Different Result

$f: [0,1] \to [0,1]$ is injective & $ f(2x-f(x))=x$ for $x \in [0,1]$ then $f(x)=x $

Solving $f(x)=f(\frac{1}{x}),\,\,\,x>0$

Can any functions be expressed in one formula? (without conditions)

Extremal of a functional $I=\int\limits_0^{x_1} y^2(y')^2dx$

Observation about convergent functions?

Can one do anything useful with a functional equation like $g(x^2) = \frac{4x^2-1}{2x^2+1}g(x)$?

Polynimials $P(x)$ and $Q(x)$ satisfying $P(x^2+1)=(Q(x))^2+2x, Q(x^2+1)=(P(x))^2$

Solve the functional equation $f(x) + f(x^2) = 2$

If $g(x) = \frac{x}{x+1}$, and $f\circ g(x) = x^2$, find $f(x)$?

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