There is considered the functional equation f(xf(x))=g(f(x)), where g:J->J is given continuous, strictly increasing functions on an open interval J in R+, and f:R+ ->J is an unknown function, and some properties of continuous solutions are given.
There is considered the functional equation f(xf(x))=g(f(x)), where g:J->J is given continuous, strictly increasing functions on an open interval J in R+, and f:R+ ->J is an unknown function, and some properties of continuous solutions are given. (en)