List questions from functional-equations

Published on 10 Jan 2019 - 21:56

35

Views

Relation between two functions defined by and integral

Published on 11 Jan 2019 - 11:50

111

Views

let $f(x)$ be rational non constant polynomial and $f\circ f(x)=3f(x)^4-1$ then find the $f(x)$

Published on 11 Jan 2019 - 20:01

68

Views

Weird integral equation with non convolution kernel

Published on 25 Mar 2026 - 15:37

57

Views

$f(x)f(\frac{1}{x})=1\hspace{1 em}\forall x\in\mathbb{R}$

Published on 12 Jan 2019 - 20:56

116

Views

Find all continuous function $f: \mathbb R \to \mathbb R$ satisfying $f(x+y)=2+f(x)+f(y)$ and $f(3)=5$

Published on 14 Jan 2019 - 23:29

182

Views

Fixed point of unusual integral equation

Published on 25 Mar 2026 - 15:40

31

Views

Prove or disprove existence of functions $f$ and $g$ (functional equations)

Published on 16 Jan 2019 - 23:53

97

Views

Proof periodic equation

Published on 17 Jan 2019 - 15:59

104

Views

What is wrong with my approach in this problem? Find all functions $f$ such that $f(x + y)f(x − y) = (f(x) + f(y))^2 − 4x^2 f(y)$ for real $x$, $y$

Published on 18 Jan 2019 - 17:37

132

Views

If $f(\frac{x+y}{x-y})=\frac{f(x)+f(y)}{f(x)-f(y)}$, which of the following statement is correct

Published on 20 Jan 2019 - 6:20

62

Views

$ t(n) = t( x_1 x_2 x_3 ...) = t(x_1) + t(x_2) + t(x_3) + ... + t( x_1 + x_2 + x_3 + ... ) $

Published on 26 Mar 2026 - 6:31

166

Views

Functional equation with $f(2x)$

Published on 22 Jan 2019 - 19:03

239

Views

Find all continuous functions in $0$ that $2f(2x) = f(x) + x $

Published on 22 Jan 2019 - 19:55

211

Views

Solution of advanced functional differential equation

Published on 24 Jan 2019 - 11:58

List Question

A function satisfying a given condition

Relation between two functions defined by and integral

let $f(x)$ be rational non constant polynomial and $f\circ f(x)=3f(x)^4-1$ then find the $f(x)$

Weird integral equation with non convolution kernel

$f(x)f(\frac{1}{x})=1\hspace{1 em}\forall x\in\mathbb{R}$

Find all continuous function $f: \mathbb R \to \mathbb R$ satisfying $f(x+y)=2+f(x)+f(y)$ and $f(3)=5$

Fixed point of unusual integral equation

Prove or disprove existence of functions $f$ and $g$ (functional equations)

Proof periodic equation

What is wrong with my approach in this problem? Find all functions $f$ such that $f(x + y)f(x − y) = (f(x) + f(y))^2 − 4x^2 f(y)$ for real $x$, $y$

If $f(\frac{x+y}{x-y})=\frac{f(x)+f(y)}{f(x)-f(y)}$, which of the following statement is correct

$ t(n) = t( x_1 x_2 x_3 ...) = t(x_1) + t(x_2) + t(x_3) + ... + t( x_1 + x_2 + x_3 + ... ) $

Functional equation with $f(2x)$

Find all continuous functions in $0$ that $2f(2x) = f(x) + x $

Solution of advanced functional differential equation

Trending Questions

Popular # Hahtags

Popular Questions