List questions from functional-equations

Published on 10 Apr 2026 - 18:13

140

Views

Matrix functional equation $ f \left( H ^ 2 \right) = \alpha f ( H ) $

Published on 28 Jun 2012 - 11:54

812

Views

A question concerning on the axiom of choice and Cauchy functional equation

Published on 10 Apr 2026 - 8:39

481

Views

Positive twice differential decreasing function, is it convex?

Published on 07 Jul 2012 - 23:35

1.3k

Views

Problem on Euler's Phi function

Published on 09 Apr 2026 - 23:29

203

Views

Solving $f(2011)=2012$, $f(4xy)=2yf(x+y)+f(x-y)$

Published on 13 Jul 2012 - 11:26

243

Views

Solution of functional equation $f(x)=-f(x-a)$

Published on 10 Apr 2026 - 11:17

110

Views

fancy about $f(x+a)=f(x)$ , where $a$ is any non-real complex number

Published on 14 Jul 2012 - 23:17

195

Views

Continuous function $g$ satisfying $g(x + y) = 5g(x)g(y)$

Published on 17 Jul 2012 - 3:32

157

Views

Functional Equation $f\big(f(x)\big)=3x$ over natural nubers for strictly increasing $f$

Published on 23 Jul 2012 - 15:05

232

Views

If $g(x) := \int_1^2 f(xt)dt \equiv 0$ then $f \equiv 0$

Published on 23 Jul 2012 - 19:56

187

Views

Does anyone recognize this function?

Published on 24 Jul 2012 - 16:21

507

Views

How to find all polynomials $P(x)$ with real coefficents satisfying $P^2(x)-1=4P(x^2-4x+1)$

Published on 25 Jul 2012 - 1:57

191

Views

What is this topic (competition questions)?

Published on 11 Apr 2026 - 0:05

10.7k

Views

What function satisfies $x^2 f(x) + f(1-x) = 2x-x^4$?

Published on 26 Jul 2012 - 23:53

List Question

even function representation

Matrix functional equation $ f \left( H ^ 2 \right) = \alpha f ( H ) $

A question concerning on the axiom of choice and Cauchy functional equation

Positive twice differential decreasing function, is it convex?

Problem on Euler's Phi function

Solving $f(2011)=2012$, $f(4xy)=2yf(x+y)+f(x-y)$

Solution of functional equation $f(x)=-f(x-a)$

fancy about $f(x+a)=f(x)$ , where $a$ is any non-real complex number

Continuous function $g$ satisfying $g(x + y) = 5g(x)g(y)$

Functional Equation $f\big(f(x)\big)=3x$ over natural nubers for strictly increasing $f$

If $g(x) := \int_1^2 f(xt)dt \equiv 0$ then $f \equiv 0$

Does anyone recognize this function?

How to find all polynomials $P(x)$ with real coefficents satisfying $P^2(x)-1=4P(x^2-4x+1)$

What is this topic (competition questions)?

What function satisfies $x^2 f(x) + f(1-x) = 2x-x^4$?

Trending Questions

Popular # Hahtags

Popular Questions