Functional Equation $f(m + f(n)) = f(m) - n$
11806
Functional equation.
156778
Finding functions satisfying $f(f(x))+f(x)+x=0$
32432
Strategies to find the set of functions $f:\mathbb R\to\mathbb R$ satisfing the functional equation: $f(x^3)+f(y^3)=(x+y)(f(x^2)+f(y^2)-f(xy))$
28286
About finding the function such that $f(xy)=f(x)f(y)-f(x+y)+1$
144890
Recurrence $f_{n+2}=af_{n+1}+bf_n$
44293
Functions satisfying $f\left( f(x)^2+f(y) \right)=xf(x)+y$
43327
convoluted recurrence: $f(2n)=f(n)+f(n+1)+n, f(2n+1)=f(n)+f(n-1)+1$
136475
d'Alembert-like functional equation: $f(x+y)+g(x-y)=\lambda f(x)g(y)$
144090
How to solve the functional equation $f\left(x^2+f(y)\right)=y+f(x)^2$
75448
Find all function satisfying $f(f(n))+f(n)=2n+3k$
47212
Solving functional equation
131692
How to show that $f_{0}f_{1}+f_{1}f_{2}+...+f_{2n-1}f_{2n} = f^{2}_{2n}$
148227
Rewriting of functional equation $f(xy)=f(x)+f(y)$
104209
Functional equation - Cyclic Substitutions
1711
Quadratic Recurrence : $f(n) = f(n-1) + f(n-2) + f(n-1) f(n-2)$ Solution? How?
100319
Functional equation with strange property about irrational numbers
48925
BMO1 2009/10 Q5 functional equation: $f(x)f(y) = f(x + y) + xy$