Question

Proving that the following functional equation admits a solution

score 101 · Answer 1 · 2026-02-23 11:18:32

101

Views

Proving that the following functional equation admits a solution

Published on 23 Feb 2026 - 11:18

score 69 · Answer 2 · 2026-03-27 18:08:37

69

Views

Can you solve this recurrence relation?

Published on 27 Mar 2026 - 18:08

score 319 · Answer 3 · 2019-09-15 17:02:57

319

Views

How to show that $f(x)\equiv x$ for an injective and continuous $ f $ satisfying $f\big(2x-f(x)\big)\equiv x$?

Published on 15 Sep 2019 - 17:02

score 115 · Answer 4 · 2019-09-16 11:40:48

115

Views

An imo shortlist algebra question

Published on 16 Sep 2019 - 11:40

score 103 · Answer 5 · 2019-09-16 21:57:55

103

Views

Continuous Invertible Function Satisfying $ f ( x ) + f ^ { - 1 } ( x ) = x $

Published on 16 Sep 2019 - 21:57

score 427 · Answer 6 · 2019-09-17 15:45:09

427

Views

if the function such $f(m+nf(m))=mf(n+1)$ find the f

Published on 17 Sep 2019 - 15:45

score 40 · Answer 7 · 2026-03-26 06:30:49

40

Views

Which analytically-given function could allow one to independently tune the power-law behavior of its left and right tails?

Published on 26 Mar 2026 - 6:30

score 291 · Answer 8 · 2019-09-20 15:40:33

291

Views

How find the function $f(f(x)+xy)=f(x)+xf(y),\forall x,y\in R$

Published on 20 Sep 2019 - 15:40

score 271 · Answer 9 · 2019-09-20 23:27:22

271

Views

Find the $f(x)$ if $f(f(x)+xf(y))=f(x)+xy$

Published on 20 Sep 2019 - 23:27

score 91 · Answer 10 · 2019-09-22 01:24:56

91

Views

Solutions to the functional equations $f(sx) = tx$ and $f(sx + (1-s)) = tf(x) + (1-t)$ on $[0,1]$

Published on 22 Sep 2019 - 1:24

score 343 · Answer 11 · 2019-09-23 09:07:06

343

Views

Solutions to the functional equations $f(sx) = tf(x)$ and $f(sx + (1-s)) = tf(x) + (1-t)$ on $[0,1]$

Published on 23 Sep 2019 - 9:07

score 124 · Answer 12 · 2019-09-23 10:33:17

124

Views

Are functions of the form $f(x)=A\sin(x)+B\cos(x)$ the only ones satisfying $f'(x)=f(x+\pi/2)$?

Published on 23 Sep 2019 - 10:33

score 131 · Answer 13 · 2019-09-24 06:45:40

131

Views

How to find number of distinct solutions of equation $f(x) + f(x/2) =x$.

Published on 24 Sep 2019 - 6:45

score 198 · Answer 14 · 2026-03-27 06:13:30

198

Views

Functional Equations, Linear Symmetry, Group Theory

Published on 27 Mar 2026 - 6:13

score 67 · Answer 15 · 2019-09-25 13:51:41

67

Views

prove $f(x)f(y)=f(xy), f(1)=1 \iff f(x)=x^k (k\ real)$

Published on 25 Sep 2019 - 13:51

List Question

Proving that the following functional equation admits a solution

Can you solve this recurrence relation?

How to show that $f(x)\equiv x$ for an injective and continuous $ f $ satisfying $f\big(2x-f(x)\big)\equiv x$?

An imo shortlist algebra question

Continuous Invertible Function Satisfying $ f ( x ) + f ^ { - 1 } ( x ) = x $

if the function such $f(m+nf(m))=mf(n+1)$ find the f

Which analytically-given function could allow one to independently tune the power-law behavior of its left and right tails?

How find the function $f(f(x)+xy)=f(x)+xf(y),\forall x,y\in R$

Find the $f(x)$ if $f(f(x)+xf(y))=f(x)+xy$

Solutions to the functional equations $f(sx) = tx$ and $f(sx + (1-s)) = tf(x) + (1-t)$ on $[0,1]$

Solutions to the functional equations $f(sx) = tf(x)$ and $f(sx + (1-s)) = tf(x) + (1-t)$ on $[0,1]$

Are functions of the form $f(x)=A\sin(x)+B\cos(x)$ the only ones satisfying $f'(x)=f(x+\pi/2)$?

How to find number of distinct solutions of equation $f(x) + f(x/2) =x$.

Functional Equations, Linear Symmetry, Group Theory

prove $f(x)f(y)=f(xy), f(1)=1 \iff f(x)=x^k (k\ real)$

Trending Questions

Popular # Hahtags

Popular Questions