Question

Find all functions $f:(0,\infty)\rightarrow(0,\infty)$ subject to the conditions:

score 70 · Answer 1 · 2019-05-30 17:18:43

70

Views

Find all functions $f:(0,\infty)\rightarrow(0,\infty)$ subject to the conditions:

Published on 30 May 2019 - 17:18

score 50 · Answer 2 · 2019-05-31 17:35:00

50

Views

$f(x,y) - f(x,z) = g(y,z)$ implies $f(x,y) = a(x) + b(y)$

Published on 31 May 2019 - 17:35

score 138 · Answer 3 · 2019-06-01 18:04:39

138

Views

What is a function $f$ such that $f(f(x))=2f(x)$ and $f(0)=1$?

Published on 01 Jun 2019 - 18:04

score 520 · Answer 4 · 2019-06-01 18:30:24

520

Views

How do I find a function $f$ such that $f(x^2)=2f(x)$?

Published on 01 Jun 2019 - 18:30

score 73 · Answer 5 · 2019-06-02 06:58:52

73

Views

If $f: N\rightarrow N $ be such that $f(f(n))+f(n+1)=n+2$ for all $n\in N$ find $f(1)$ and $f(2)$.

Published on 02 Jun 2019 - 6:58

score 40 · Answer 6 · 2026-03-26 06:30:58

40

Views

Uniqueness of the solution of non-linear ODE of second order

Published on 26 Mar 2026 - 6:30

score 93 · Answer 7 · 2019-06-04 05:53:24

93

Views

Restricted Cauchy equation on a non-dense domain

Published on 04 Jun 2019 - 5:53

score 61 · Answer 8 · 2019-06-05 23:35:35

61

Views

I can compute a function $F(x)$ such that $F(x(1/2-x))= F(x)/2$, It is analytic on a filled Julia set.

Published on 05 Jun 2019 - 23:35

score 89 · Answer 9 · 2019-06-07 15:54:27

89

Views

find functions $f$ such that $f(x)+f(y) = f(g(x,y))$, $g$ is given and symmetric

Published on 07 Jun 2019 - 15:54

score 88 · Answer 10 · 2019-06-09 19:40:16

88

Views

Solve the functional equation $f(x+1)-f(x)=x*\sin(x) $

Published on 09 Jun 2019 - 19:40

score 331 · Answer 11 · 2019-06-16 01:56:14

331

Views

$f:\mathbb{R} \rightarrow \mathbb{R}$, $f(xf(y)+f(x))=2f(x)+xy$

Published on 16 Jun 2019 - 1:56

score 153 · Answer 12 · 2019-06-16 23:45:25

153

Views

Functions satisfying: $f(f(x)^2+f(y))=xf(x)+y$

Published on 16 Jun 2019 - 23:45

score 242 · Answer 13 · 2019-06-18 00:17:48

242

Views

Finding all positive real functions satisfying $xf(y)+f(f(y))\leq f(x+y)$

Published on 18 Jun 2019 - 0:17

score 80 · Answer 14 · 2019-06-19 08:07:19

80

Views

Function of a Function Differential Equation

Published on 19 Jun 2019 - 8:07

score 87 · Answer 15 · 2019-06-21 15:28:33

87

Views

Number of solutions of the equation $e^{f(x)}=f(x)+2$

Published on 21 Jun 2019 - 15:28

List Question

Find all functions $f:(0,\infty)\rightarrow(0,\infty)$ subject to the conditions:

$f(x,y) - f(x,z) = g(y,z)$ implies $f(x,y) = a(x) + b(y)$

What is a function $f$ such that $f(f(x))=2f(x)$ and $f(0)=1$?

How do I find a function $f$ such that $f(x^2)=2f(x)$?

If $f: N\rightarrow N $ be such that $f(f(n))+f(n+1)=n+2$ for all $n\in N$ find $f(1)$ and $f(2)$.

Uniqueness of the solution of non-linear ODE of second order

Restricted Cauchy equation on a non-dense domain

I can compute a function $F(x)$ such that $F(x(1/2-x))= F(x)/2$, It is analytic on a filled Julia set.

find functions $f$ such that $f(x)+f(y) = f(g(x,y))$, $g$ is given and symmetric

Solve the functional equation $f(x+1)-f(x)=x*\sin(x) $

$f:\mathbb{R} \rightarrow \mathbb{R}$, $f(xf(y)+f(x))=2f(x)+xy$

Functions satisfying: $f(f(x)^2+f(y))=xf(x)+y$

Finding all positive real functions satisfying $xf(y)+f(f(y))\leq f(x+y)$

Function of a Function Differential Equation

Number of solutions of the equation $e^{f(x)}=f(x)+2$

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