Question

solving a functional equation $f(xy)=f(x)+f(y)-1$ on positive integers using given values

score 197 · Answer 1 · 2013-10-07 12:10:59

197

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solving a functional equation $f(xy)=f(x)+f(y)-1$ on positive integers using given values

Published on 07 Oct 2013 - 12:10

score 113 · Answer 2 · 2013-10-07 14:21:08

113

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Functional equation $f(a+b)^3-f(a)^3-f(b)^3=3f(a)f(b)f(a+b)$

Published on 07 Oct 2013 - 14:21

score 129 · Answer 3 · 2013-10-07 15:11:43

129

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Functional/Differential Equation

Published on 07 Oct 2013 - 15:11

score 4.3k · Answer 4 · 2013-10-13 12:33:56

4.3k

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What method is used to find the expression of a function?

Published on 13 Oct 2013 - 12:33

score 1.1k · Answer 5 · 2013-10-13 16:12:18

1.1k

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If x and y are different integers , and if $2005 +x =y^2 ; 2005+y =x^2 $ then find xy...

Published on 13 Oct 2013 - 16:12

score 1.8k · Answer 6 · 2013-10-16 03:23:21

1.8k

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Find all functions $f:\mathbb{R}^+\to \mathbb{R}^+$ such that for all $x,y\in\mathbb{R}^+$, $f(x)f(yf(x))=f(x+y)$

Published on 16 Oct 2013 - 3:23

score 111 · Answer 7 · 2013-10-18 04:37:19

111

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Solving the functional equation $g(x)=g(a^mx)c^m$

Published on 18 Oct 2013 - 4:37

score 2.2k · Answer 8 · 2013-10-21 03:16:16

2.2k

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Let $f(x)$ be a 3rd degree polynomial such that $f(x^2)=0$ has exactly $4$ distinct real roots

Published on 21 Oct 2013 - 3:16

score 55 · Answer 9 · 2013-10-22 19:24:22

55

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regarding a set of integro-PDE

Published on 22 Oct 2013 - 19:24

score 4.3k · Answer 10 · 2013-10-22 22:51:03

4.3k

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Functions and Mapping question?

Published on 22 Oct 2013 - 22:51

score 323 · Answer 11 · 2026-03-25 19:11:18

323

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Functions minimized at the median of their arguments

Published on 25 Mar 2026 - 19:11

score 801 · Answer 12 · 2013-10-28 02:08:14

801

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Do there exist functions such that $f(f(x)) = -x$?

Published on 28 Oct 2013 - 2:08

score 117 · Answer 13 · 2013-10-28 14:53:43

117

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Finding every possible $f(x), a\in\mathbb R$ such that ${\{f(x)\}}^2=a+f(x^2)$

Published on 28 Oct 2013 - 14:53

score 3k · Answer 14 · 2013-10-29 21:44:16

3k

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Formula for solving for Cx and Cy...

Published on 29 Oct 2013 - 21:44

score 1.3k · Answer 15 · 2013-11-03 08:00:34

1.3k

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How to find $f$ if $f(f(x))=\frac{x+1}{x+2}$

Published on 03 Nov 2013 - 8:00

List Question

solving a functional equation $f(xy)=f(x)+f(y)-1$ on positive integers using given values

Functional equation $f(a+b)^3-f(a)^3-f(b)^3=3f(a)f(b)f(a+b)$

Functional/Differential Equation

What method is used to find the expression of a function?

If x and y are different integers , and if $2005 +x =y^2 ; 2005+y =x^2 $ then find xy...

Find all functions $f:\mathbb{R}^+\to \mathbb{R}^+$ such that for all $x,y\in\mathbb{R}^+$, $f(x)f(yf(x))=f(x+y)$

Solving the functional equation $g(x)=g(a^mx)c^m$

Let $f(x)$ be a 3rd degree polynomial such that $f(x^2)=0$ has exactly $4$ distinct real roots

regarding a set of integro-PDE

Functions and Mapping question?

Functions minimized at the median of their arguments

Do there exist functions such that $f(f(x)) = -x$?

Finding every possible $f(x), a\in\mathbb R$ such that ${\{f(x)\}}^2=a+f(x^2)$

Formula for solving for Cx and Cy...

How to find $f$ if $f(f(x))=\frac{x+1}{x+2}$

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