Question

Let $f:\mathbb N\to \mathbb N\;$ be a strictly increasing function s.t. $\;f\bigl(f(n)\bigr)=3n$ for all $n$. Find $f(2001)$ via a specific approach

score 360 · Answer 1 · 2026-04-17 08:48:43

360

Views

Let $f:\mathbb N\to \mathbb N\;$ be a strictly increasing function s.t. $\;f\bigl(f(n)\bigr)=3n$ for all $n$. Find $f(2001)$ via a specific approach

Published on 17 Apr 2026 - 8:48

score 55 · Answer 2 · 2026-04-12 20:40:11

55

Views

Solve for the kernel in a system of Volterra equations

Published on 12 Apr 2026 - 20:40

score 68 · Answer 3 · 2026-04-16 13:39:06

68

Views

Logarithmic functional equation $f(xy)=f(x)+(y)$ with the additional condition $f(x)-f(x_0)\le a(x-x_0)$

Published on 16 Apr 2026 - 13:39

score 92 · Answer 4 · 2026-04-14 18:37:16

92

Views

A functional equation $(f(x)+1)f(f(x))=x(x+1)$

Published on 14 Apr 2026 - 18:37

score 128 · Answer 5 · 2026-04-16 13:33:33

Determine all the continuous functions $f:(-1,1)\rightarrow \mathbb{R}$ such that $\forall x,y \in (-1,1)$, $f(x)+f(y)=f(\frac{x+y}{1+xy})$

score 36 · Answer 6 · 2026-04-10 04:00:37

36

Views

Continuation of differentiable functions on unit disk with bounded derivatives

Published on 10 Apr 2026 - 4:00

score 41 · Answer 7 · 2026-04-16 01:16:30

41

Views

The functional ODE $(x \partial_x + a x^2 - b x + 1) f(x) = f(q x)$

Published on 16 Apr 2026 - 1:16

score 40 · Answer 8 · 2026-04-08 23:34:58

40

Views

Can anybody explain this solution in more detail?

Published on 08 Apr 2026 - 23:34

score 214 · Answer 9 · 2026-04-15 23:43:47

214

Views

Functions such that $f'(x)=f(cx)$

Published on 15 Apr 2026 - 23:43

score 72 · Answer 10 · 2026-04-16 01:11:22

72

Views

Find all continuous functions with the property that f(x)f(y)f(z) = 3, for every x, y, z ∈ R, with x + y + z = 0.

Published on 16 Apr 2026 - 1:11

score 97 · Answer 11 · 2026-04-16 15:53:11

97

Views

Find all functions over reals such that $f(t^2+u)=tf(t)+f(u)$

Published on 16 Apr 2026 - 15:53

score 149 · Answer 12 · 2026-04-14 08:55:33

149

Views

Find all function such that $f(f(x+y))=f(x)+f(y)$

Published on 14 Apr 2026 - 8:55

score 83 · Answer 13 · 2026-04-16 00:26:04

83

Views

Find all functions that satisfy $\frac{f(x+y)+f(x)}{ky+f(x)}=\frac{kx+f(y)}{f(x+y)+f(y)}$

Published on 16 Apr 2026 - 0:26

score 29 · Answer 14 · 2026-04-13 10:48:08

29

Views

Functional Equation's induction-Extending from $\mathbb{N}$ to $\mathbb{Q_+}$

Published on 13 Apr 2026 - 10:48

score 55 · Answer 15 · 2026-04-16 21:05:31

55

Views

Proving $f(1)=1$ in $f(y+zf(x))=f(y)+xf(z)$

Published on 16 Apr 2026 - 21:05

List Question

Let $f:\mathbb N\to \mathbb N\;$ be a strictly increasing function s.t. $\;f\bigl(f(n)\bigr)=3n$ for all $n$. Find $f(2001)$ via a specific approach

Solve for the kernel in a system of Volterra equations

Logarithmic functional equation $f(xy)=f(x)+(y)$ with the additional condition $f(x)-f(x_0)\le a(x-x_0)$

A functional equation $(f(x)+1)f(f(x))=x(x+1)$

Determine all the continuous functions $f:(-1,1)\rightarrow \mathbb{R}$ such that $\forall x,y \in (-1,1)$, $f(x)+f(y)=f(\frac{x+y}{1+xy})$

Continuation of differentiable functions on unit disk with bounded derivatives

The functional ODE $(x \partial_x + a x^2 - b x + 1) f(x) = f(q x)$

Can anybody explain this solution in more detail?

Functions such that $f'(x)=f(cx)$

Find all continuous functions with the property that f(x)f(y)f(z) = 3, for every x, y, z ∈ R, with x + y + z = 0.

Find all functions over reals such that $f(t^2+u)=tf(t)+f(u)$

Find all function such that $f(f(x+y))=f(x)+f(y)$

Find all functions that satisfy $\frac{f(x+y)+f(x)}{ky+f(x)}=\frac{kx+f(y)}{f(x+y)+f(y)}$

Functional Equation's induction-Extending from $\mathbb{N}$ to $\mathbb{Q_+}$

Proving $f(1)=1$ in $f(y+zf(x))=f(y)+xf(z)$

Trending Questions

Popular # Hahtags

Popular Questions