For what value of $f(x)$ the given integral equation have solution
140295
Integral equation problem
76458
Solve the following functional equation $f(xf(y))+f(yf(x))=2xy$
101776
Bounded solution for an equation
29076
Two different solutions to integral
103251
Solution(s) to $f(x + y) = f(x) + f(y)$ (and miscellaneous questions...)
61162
Show that $\left(\int_0^1 f(x)\,dx\right)^2\leq2\int_0^1x\, f(x)^2\,dx $
147195
Help needed in finding the value of $f(2001)$ in the given functional equation
33315
Many other solutions of the Cauchy's Functional Equation
62055
Solve $\frac{d}{dx}f(x)=f(x-1)$
24862
Solving (quadratic) equations of iterated functions, such as $f(f(x))=f(x)+x$
12072
Analytic solution for $x=\ln(x+1)$
65418
Solve these functional equations: $\int_0^1\!{f(x)^2\, \mathrm{dx}}= \int_0^1\!{f(x)^3\, \mathrm{dx}}= \int_0^1\!{f(x)^4\, \mathrm{dx}}$
46244
solve the integral equation 2
156778
Finding functions satisfying $f(f(x))+f(x)+x=0$
138544
For which values of $x$, will $f (x) . f '(x) < 0$?
99827
For what values will f(x) be necessarily one-one?
147325
Proving that if $f(x)=x$ has no real solution then $f(f(x))=x$ has no real solution either