List questions from functional-equations

Published on 14 Aug 2015 - 18:00

270

Views

Determine all functions $f:\mathbb{Q}\to\mathbb{Q}$ satisfying the functional equation $f(2f(x) + f(y)) = 2x + y$

Published on 17 Aug 2015 - 23:16

172

Views

Existence of a solution to $f(x) = \int_0^1 k(x,y) f(y) dy$

Published on 18 Aug 2015 - 18:58

157

Views

functional equation with two functions: $ f ( x + y ) = f ( x ) g ( y ) + f ( y ) $

Published on 19 Aug 2015 - 0:07

48

Views

Real-valued function with kind of additivity

Published on 19 Aug 2015 - 12:15

86

Views

Is $f(\sqrt{x}) = \sqrt{f(x)}$ true, where $f(xy) = f(x) + f(y)$ for all positives $x, y \in \mathbb{R}$?

Published on 21 Aug 2015 - 14:16

54

Views

Can this relation be made into a functional equation?

Published on 22 Aug 2015 - 9:00

222

Views

Is the functional equation for $\zeta (s) \left(1-\frac{1}{3^{s-1}}\right)$ known?

Published on 23 Aug 2015 - 9:24

72

Views

Contest problem in functional equations.

Published on 23 Aug 2015 - 17:24

50

Views

$\int_0^t f(x) - x dx = f^{[t]}(0) - t - 1$

Published on 26 Mar 2026 - 7:39

121

Views

Riemann zeta function, functional equation, what completes this analogy?

Published on 25 Aug 2015 - 13:43

73

Views

Expressing Math Equations

Published on 27 Mar 2026 - 0:11

95

Views

Prove the equation has unique class of solutions

Published on 26 Aug 2015 - 17:03

6.6k

Views

If $f: \Bbb{N} \to \Bbb{N}$ is strictly increasing and $f(f(n))=3n$, find $f(2001)$.

Published on 26 Aug 2015 - 18:40

3.3k

Views

Find all functions f such that $f(f(x))=f(x)+x$

Published on 28 Aug 2015 - 11:31

List Question

Finding a Recurrence Relation.

Determine all functions $f:\mathbb{Q}\to\mathbb{Q}$ satisfying the functional equation $f(2f(x) + f(y)) = 2x + y$

Existence of a solution to $f(x) = \int_0^1 k(x,y) f(y) dy$

functional equation with two functions: $ f ( x + y ) = f ( x ) g ( y ) + f ( y ) $

Real-valued function with kind of additivity

Is $f(\sqrt{x}) = \sqrt{f(x)}$ true, where $f(xy) = f(x) + f(y)$ for all positives $x, y \in \mathbb{R}$?

Can this relation be made into a functional equation?

Is the functional equation for $\zeta (s) \left(1-\frac{1}{3^{s-1}}\right)$ known?

Contest problem in functional equations.

$\int_0^t f(x) - x dx = f^{[t]}(0) - t - 1$

Riemann zeta function, functional equation, what completes this analogy?

Expressing Math Equations

Prove the equation has unique class of solutions

If $f: \Bbb{N} \to \Bbb{N}$ is strictly increasing and $f(f(n))=3n$, find $f(2001)$.

Find all functions f such that $f(f(x))=f(x)+x$

Trending Questions

Popular # Hahtags

Popular Questions