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2013 Silk Road
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Part of
2013 Silk Road
Problems
(1)
Functional equation from SRMC
Source: 12th Silk Road Mathematical Competition SRMC2013 Probelm 3
4/7/2013
Find all non-decreasing functions
f
:
N
→
N
f\,:\,\mathbb{N}\to\mathbb{N}
f
:
N
→
N
, such that
f
(
f
(
m
)
f
(
n
)
+
m
)
=
f
(
m
f
(
n
)
)
+
f
(
m
)
f(f(m)f(n)+m)=f(mf(n))+f(m)
f
(
f
(
m
)
f
(
n
)
+
m
)
=
f
(
m
f
(
n
))
+
f
(
m
)
function
inequalities
algebra unsolved
algebra