Find all functions defined on the set of positive real numbers and having real values, that for any real there is satisfied the following equasion:

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- Sep 11th 2010, 12:20 AMPaulinaAnnaFind all functions satisfying the functional equation
Find all functions defined on the set of positive real numbers and having real values, that for any real there is satisfied the following equasion:

- Nov 19th 2010, 10:30 AMhelgamauer
It is quite interesting question, isn't it? Did someone find the answer?

- Dec 4th 2010, 02:53 AMGlyper
Can't manage to solve this interesting problem either.. Any ideas?

- Dec 5th 2010, 11:36 AMzzzoak
May be this helps

One solution

- Dec 5th 2010, 11:45 AMGlyper
Hmm.. That's the full solution?

- Dec 8th 2010, 03:15 PMzzzoak
If

We get a system

which has a solution