how can I find a function that satisfies cauchy functional equation?
29647
Do there exist functions satisfying $f(x+y)=f(x)+f(y)$ that aren't linear?
100979
Uniform continuity of a function and cauchy sequences
81055
Functional Equation simple problem
121079
lemma: Cauchy sequences are bounded.
89747
Problem with showing that every Contractive Sequence is Cauchy
34074
Nonlinear Functional Equation $f(x)^{2}=f\left(\frac x a\right)$
120170
A late-diverging "approximating solution" for a system of functional equations
17343
Function on $[a,b]$ that satisfies a Hölder condition of order $\alpha > 1 $ is constant
86128
Find all functions $ f : \Bbb R \to \Bbb R$ which satisfy $f(x)f(y) = f(x + y) + xy$ for all $x, y ∈ \Bbb R$.
48652
Solve the functional equation $2f(x)=f(ax)$ for some $a$.
58816
Existence of a continuous function which does not achieve a maximum.
98255
Find $f(x)$ such that $f(f(x)) = x^2 - 2$
55693
The functional equation $ f \big( x - f ( y ) \big) = f \big( f ( y ) \big) + x f ( y ) + f ( x ) - 1 $
17154
Does a non-trivial solution exist for $f'(x)=f(f(x))$?
128751
Solving for $f(2004)$ in a given functional equation
151947
Finding a pair of functions with properties
67594
Books on functional equations