Monotonic functional equations
17119
Find all strictly monotone $f:(0,+\infty) \to (0, +\infty)$ such that $f(\frac{x^2}{f(x)})=x.$
117418
Showing that the image of a function is $\mathbb{C}$ if it satisfies a nice functional equation
18082
A continuous function that attains neither its minimum nor its maximum at any open interval is monotone
65418
Solve these functional equations: $\int_0^1\!{f(x)^2\, \mathrm{dx}}= \int_0^1\!{f(x)^3\, \mathrm{dx}}= \int_0^1\!{f(x)^4\, \mathrm{dx}}$
104209
Functional equation - Cyclic Substitutions
147195
Help needed in finding the value of $f(2001)$ in the given functional equation
153942
Solution of functional equation $f(x+y)=f(x)+f(y)+y\sqrt{f(x)}$
121765
Semigroups and solutions of equation
116270
Functional equations leading to sine and cosine
76458
Solve the following functional equation $f(xf(y))+f(yf(x))=2xy$
32856
Functional equations $f(x+y)= f(x) + f(y)$ and $f(xy)= f(x)f(y)$
144557
Linearly independent functionals
77071
Solve the functional equation $f(xy) = f(x)f(y) - f(x + y) + 1$ and $f(1) = 2$
111556
Solving functional equation $f(x+y)+f(x-y)=2f(x)\cos y$?
142232
Functional Analysis. Continuous extensions of linear functionals.
132837
Show that any monotone boolean function can be realize by the following connectives.
19997
Why is the Monotone Convergence Theorem restricted to a nonnegative function sequence?