List questions from functional-equations

Published on 19 Mar 2014 - 14:08

134

Views

Solution to a Functional Equation $g'(x)=\dfrac{g(bx)-g(x)}{(b-1)x}$

Published on 20 Mar 2014 - 7:49

266

Views

Solve the functional equation $\,\,f(2x)=2x f^\prime(x)$

Published on 25 Mar 2026 - 15:47

101

Views

Solving the functional equation $f\big(4f(x)-3x\big)=x$

Published on 21 Mar 2014 - 1:16

92

Views

Solving the functional equation $f(x)=f\left(\frac{x}{2}\right)+\frac{x}{2}\cdot f'(x)$

Published on 21 Mar 2014 - 1:36

60

Views

continuous functions on rationals

Published on 21 Mar 2014 - 8:49

446

Views

How to prove that superadditive function has this property?

Published on 21 Mar 2014 - 12:58

177

Views

Solving the functional equation $f\left(x^2+f(y)\right)=f(x)^2+y^4+2f(xy)$

Published on 23 Mar 2014 - 1:54

145

Views

Trivial funcional equation: $[f(x)]^{2}=f(2x)$

Published on 23 Mar 2014 - 20:46

56

Views

Similar outputs from different transfer functions

Published on 27 Mar 2026 - 22:52

50

Views

Linear after change of variables

Published on 24 Mar 2014 - 16:42

692

Views

determine all polynomials $P(x)$ such that $(x+1)P(x-1)-(x-1)P(x)$ is a constant polynomial

Published on 26 Mar 2014 - 7:51

188

Views

$f:\Bbb Z\to\Bbb Z$ such that $f(f(n)-2n)=2f(n)+n$ for all $n\in\Bbb Z$

Published on 28 Mar 2014 - 10:26

295

Views

Determining quadratic function of this word problem

Published on 28 Mar 2014 - 23:18

198

Views

General solution of a finite-difference equation with real non-commensurable differences.

Published on 26 Mar 2026 - 4:30

List Question

Show that $f(x) = x$ if $f(f(f(x))) = x$.

Solution to a Functional Equation $g'(x)=\dfrac{g(bx)-g(x)}{(b-1)x}$

Solve the functional equation $\,\,f(2x)=2x f^\prime(x)$

Solving the functional equation $f\big(4f(x)-3x\big)=x$

Solving the functional equation $f(x)=f\left(\frac{x}{2}\right)+\frac{x}{2}\cdot f'(x)$

continuous functions on rationals

How to prove that superadditive function has this property?

Solving the functional equation $f\left(x^2+f(y)\right)=f(x)^2+y^4+2f(xy)$

Trivial funcional equation: $[f(x)]^{2}=f(2x)$

Similar outputs from different transfer functions

Linear after change of variables

determine all polynomials $P(x)$ such that $(x+1)P(x-1)-(x-1)P(x)$ is a constant polynomial

$f:\Bbb Z\to\Bbb Z$ such that $f(f(n)-2n)=2f(n)+n$ for all $n\in\Bbb Z$

Determining quadratic function of this word problem

General solution of a finite-difference equation with real non-commensurable differences.

Trending Questions

Popular # Hahtags

Popular Questions