List questions from functional-equations

Published on 16 Nov 2012 - 7:03

102

Views

$f,g:[a,b]\to [a,b]$ are continuous, $f\circ g=g\circ f$ and $f$ is 1-1. Show that $\exists t\in [a,b]$ so that $f(t)=g(t)=t$

Published on 17 Nov 2012 - 12:23

1.7k

Views

Functional Equation. $f(mn)=f(m)f(n)$ and ....

Published on 17 Nov 2012 - 14:03

175

Views

Iterations of $f(x)=\dfrac{ax+b}{cx+d}$

Published on 31 Mar 2026 - 10:37

1.6k

Views

Books on functional equations

Published on 11 Apr 2026 - 6:37

229

Views

Uniqueness of solution of functional equation

Published on 08 Apr 2026 - 18:20

349

Views

find all function f,g that satisfy

Published on 22 Nov 2012 - 21:37

233

Views

Can we give a definition of the cotangent based on a functional equation?

Published on 10 Apr 2026 - 19:24

6.9k

Views

Solve the recurrence for $T(n) = T(\sqrt n) + 2$. Assume that T(n) is constant for $n\leqslant 2$.

Published on 01 Dec 2012 - 2:27

7k

Views

Proving that $f(n)=n$ if $f(n+1)>f(f(n))$

Published on 02 Dec 2012 - 2:27

289

Views

Solve system of equations with sin, cos, tg

Published on 02 Dec 2012 - 14:54

348

Views

Find all functions for which $\ x \cdot f(xy)+f(-y)=x \cdot f(x)$

Published on 02 Dec 2012 - 15:55

8.9k

Views

Value of $k$ for which $e^x = kx$ has $1$ solution

Published on 11 Apr 2026 - 6:55

103

Views

Exercise of functions of a real variable

Published on 04 Dec 2012 - 21:12

253

Views

Extending Cauchy functional equation from a null set to $\mathbb R^2$

Published on 09 Apr 2026 - 8:01

List Question

Question about ratios and combinatorics

$f,g:[a,b]\to [a,b]$ are continuous, $f\circ g=g\circ f$ and $f$ is 1-1. Show that $\exists t\in [a,b]$ so that $f(t)=g(t)=t$

Functional Equation. $f(mn)=f(m)f(n)$ and ....

Iterations of $f(x)=\dfrac{ax+b}{cx+d}$

Books on functional equations

Uniqueness of solution of functional equation

find all function f,g that satisfy

Can we give a definition of the cotangent based on a functional equation?

Solve the recurrence for $T(n) = T(\sqrt n) + 2$. Assume that T(n) is constant for $n\leqslant 2$.

Proving that $f(n)=n$ if $f(n+1)>f(f(n))$

Solve system of equations with sin, cos, tg

Find all functions for which $\ x \cdot f(xy)+f(-y)=x \cdot f(x)$

Value of $k$ for which $e^x = kx$ has $1$ solution

Exercise of functions of a real variable

Extending Cauchy functional equation from a null set to $\mathbb R^2$

Trending Questions

Popular # Hahtags

Popular Questions